47=7(-5a-5)-4(-1+a)

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Solution for 47=7(-5a-5)-4(-1+a) equation:


Simplifying
47 = 7(-5a + -5) + -4(-1 + a)

Reorder the terms:
47 = 7(-5 + -5a) + -4(-1 + a)
47 = (-5 * 7 + -5a * 7) + -4(-1 + a)
47 = (-35 + -35a) + -4(-1 + a)
47 = -35 + -35a + (-1 * -4 + a * -4)
47 = -35 + -35a + (4 + -4a)

Reorder the terms:
47 = -35 + 4 + -35a + -4a

Combine like terms: -35 + 4 = -31
47 = -31 + -35a + -4a

Combine like terms: -35a + -4a = -39a
47 = -31 + -39a

Solving
47 = -31 + -39a

Solving for variable 'a'.

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

Add '39a' to each side of the equation.
47 + 39a = -31 + -39a + 39a

Combine like terms: -39a + 39a = 0
47 + 39a = -31 + 0
47 + 39a = -31

Add '-47' to each side of the equation.
47 + -47 + 39a = -31 + -47

Combine like terms: 47 + -47 = 0
0 + 39a = -31 + -47
39a = -31 + -47

Combine like terms: -31 + -47 = -78
39a = -78

Divide each side by '39'.
a = -2

Simplifying
a = -2

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