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Answer:

The answer is −3x+y=11

Step-by-step explanation:

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The standard form of the given linear equation y - 8 = 3(x + 1) is 3x - y = -11.

What is the standard form of a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

The given linear equation is:

y - 8 = 3(x + 1)

We need to rearrange the elements of the given linear equation to make the standard form of it.

Therefore,

y - 8 = 3(x + 1)

⇒ y - 8 = 3x + 3

⇒ 3x - y = -8 - 3

⇒ 3x - y = -11

Therefore, the required standard form of the given linear equation is 3x - y = -11.

Learn more about the standard form of a linear equation here: https://brainly.com/question/11897796

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