5(a-2)+15=40

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Solution for 5(a-2)+15=40 equation:


Simplifying
5(a + -2) + 15 = 40

Reorder the terms:
5(-2 + a) + 15 = 40
(-2 * 5 + a * 5) + 15 = 40
(-10 + 5a) + 15 = 40

Reorder the terms:
-10 + 15 + 5a = 40

Combine like terms: -10 + 15 = 5
5 + 5a = 40

Solving
5 + 5a = 40

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 5a = 40 + -5

Combine like terms: 5 + -5 = 0
0 + 5a = 40 + -5
5a = 40 + -5

Combine like terms: 40 + -5 = 35
5a = 35

Divide each side by '5'.
a = 7

Simplifying
a = 7

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