40-7a=8(-4a+5)

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Solution for 40-7a=8(-4a+5) equation:


Simplifying
40 + -7a = 8(-4a + 5)

Reorder the terms:
40 + -7a = 8(5 + -4a)
40 + -7a = (5 * 8 + -4a * 8)
40 + -7a = (40 + -32a)

Add '-40' to each side of the equation.
40 + -40 + -7a = 40 + -40 + -32a

Combine like terms: 40 + -40 = 0
0 + -7a = 40 + -40 + -32a
-7a = 40 + -40 + -32a

Combine like terms: 40 + -40 = 0
-7a = 0 + -32a
-7a = -32a

Solving
-7a = -32a

Solving for variable 'a'.

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

Add '32a' to each side of the equation.
-7a + 32a = -32a + 32a

Combine like terms: -7a + 32a = 25a
25a = -32a + 32a

Combine like terms: -32a + 32a = 0
25a = 0

Divide each side by '25'.
a = 0

Simplifying
a = 0

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