40-5a=-7(1-6a)

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Solution for 40-5a=-7(1-6a) equation: 


Simplifying
40 + -5a = -7(1 + -6a)
40 + -5a = (1 * -7 + -6a * -7)
40 + -5a = (-7 + 42a)

Solving
40 + -5a = -7 + 42a

Solving for variable 'a'.

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

Add '-42a' to each side of the equation.
40 + -5a + -42a = -7 + 42a + -42a

Combine like terms: -5a + -42a = -47a
40 + -47a = -7 + 42a + -42a

Combine like terms: 42a + -42a = 0
40 + -47a = -7 + 0
40 + -47a = -7

Add '-40' to each side of the equation.
40 + -40 + -47a = -7 + -40

Combine like terms: 40 + -40 = 0
0 + -47a = -7 + -40
-47a = -7 + -40

Combine like terms: -7 + -40 = -47
-47a = -47

Divide each side by '-47'.
a = 1

Simplifying
a = 1

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