2(a+2)=-9+5(a-7)

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Solution for 2(a+2)=-9+5(a-7) equation:


Simplifying
2(a + 2) = -9 + 5(a + -7)

Reorder the terms:
2(2 + a) = -9 + 5(a + -7)
(2 * 2 + a * 2) = -9 + 5(a + -7)
(4 + 2a) = -9 + 5(a + -7)

Reorder the terms:
4 + 2a = -9 + 5(-7 + a)
4 + 2a = -9 + (-7 * 5 + a * 5)
4 + 2a = -9 + (-35 + 5a)

Combine like terms: -9 + -35 = -44
4 + 2a = -44 + 5a

Solving
4 + 2a = -44 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
4 + 2a + -5a = -44 + 5a + -5a

Combine like terms: 2a + -5a = -3a
4 + -3a = -44 + 5a + -5a

Combine like terms: 5a + -5a = 0
4 + -3a = -44 + 0
4 + -3a = -44

Add '-4' to each side of the equation.
4 + -4 + -3a = -44 + -4

Combine like terms: 4 + -4 = 0
0 + -3a = -44 + -4
-3a = -44 + -4

Combine like terms: -44 + -4 = -48
-3a = -48

Divide each side by '-3'.
a = 16

Simplifying
a = 16

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