2(a-2)+3(a-2)=-15

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Solution for 2(a-2)+3(a-2)=-15 equation: 


Simplifying
2(a + -2) + 3(a + -2) = -15

Reorder the terms:
2(-2 + a) + 3(a + -2) = -15
(-2 * 2 + a * 2) + 3(a + -2) = -15
(-4 + 2a) + 3(a + -2) = -15

Reorder the terms:
-4 + 2a + 3(-2 + a) = -15
-4 + 2a + (-2 * 3 + a * 3) = -15
-4 + 2a + (-6 + 3a) = -15

Reorder the terms:
-4 + -6 + 2a + 3a = -15

Combine like terms: -4 + -6 = -10
-10 + 2a + 3a = -15

Combine like terms: 2a + 3a = 5a
-10 + 5a = -15

Solving
-10 + 5a = -15

Solving for variable 'a'.

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

Add '10' to each side of the equation.
-10 + 10 + 5a = -15 + 10

Combine like terms: -10 + 10 = 0
0 + 5a = -15 + 10
5a = -15 + 10

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

Divide each side by '5'.
a = -1

Simplifying
a = -1

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