40+7a=-2-3(2-5a)

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Solution for 40+7a=-2-3(2-5a) equation: 


Simplifying
40 + 7a = -2 + -3(2 + -5a)
40 + 7a = -2 + (2 * -3 + -5a * -3)
40 + 7a = -2 + (-6 + 15a)

Combine like terms: -2 + -6 = -8
40 + 7a = -8 + 15a

Solving
40 + 7a = -8 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
40 + 7a + -15a = -8 + 15a + -15a

Combine like terms: 7a + -15a = -8a
40 + -8a = -8 + 15a + -15a

Combine like terms: 15a + -15a = 0
40 + -8a = -8 + 0
40 + -8a = -8

Add '-40' to each side of the equation.
40 + -40 + -8a = -8 + -40

Combine like terms: 40 + -40 = 0
0 + -8a = -8 + -40
-8a = -8 + -40

Combine like terms: -8 + -40 = -48
-8a = -48

Divide each side by '-8'.
a = 6

Simplifying
a = 6

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