40=4(a-7)-10(-6a+6)

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Solution for 40=4(a-7)-10(-6a+6) equation: 


Simplifying
40 = 4(a + -7) + -10(-6a + 6)

Reorder the terms:
40 = 4(-7 + a) + -10(-6a + 6)
40 = (-7 * 4 + a * 4) + -10(-6a + 6)
40 = (-28 + 4a) + -10(-6a + 6)

Reorder the terms:
40 = -28 + 4a + -10(6 + -6a)
40 = -28 + 4a + (6 * -10 + -6a * -10)
40 = -28 + 4a + (-60 + 60a)

Reorder the terms:
40 = -28 + -60 + 4a + 60a

Combine like terms: -28 + -60 = -88
40 = -88 + 4a + 60a

Combine like terms: 4a + 60a = 64a
40 = -88 + 64a

Solving
40 = -88 + 64a

Solving for variable 'a'.

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

Add '-64a' to each side of the equation.
40 + -64a = -88 + 64a + -64a

Combine like terms: 64a + -64a = 0
40 + -64a = -88 + 0
40 + -64a = -88

Add '-40' to each side of the equation.
40 + -40 + -64a = -88 + -40

Combine like terms: 40 + -40 = 0
0 + -64a = -88 + -40
-64a = -88 + -40

Combine like terms: -88 + -40 = -128
-64a = -128

Divide each side by '-64'.
a = 2

Simplifying
a = 2

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