40-7a=-8(a-5)-1

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Solution for 40-7a=-8(a-5)-1 equation: 


Simplifying
40 + -7a = -8(a + -5) + -1

Reorder the terms:
40 + -7a = -8(-5 + a) + -1
40 + -7a = (-5 * -8 + a * -8) + -1
40 + -7a = (40 + -8a) + -1

Reorder the terms:
40 + -7a = 40 + -1 + -8a

Combine like terms: 40 + -1 = 39
40 + -7a = 39 + -8a

Solving
40 + -7a = 39 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
40 + -7a + 8a = 39 + -8a + 8a

Combine like terms: -7a + 8a = 1a
40 + 1a = 39 + -8a + 8a

Combine like terms: -8a + 8a = 0
40 + 1a = 39 + 0
40 + 1a = 39

Add '-40' to each side of the equation.
40 + -40 + 1a = 39 + -40

Combine like terms: 40 + -40 = 0
0 + 1a = 39 + -40
1a = 39 + -40

Combine like terms: 39 + -40 = -1
1a = -1

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

Simplifying
a = -1

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