-6(7-7a)+3(5a+8)=-75

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Solution for -6(7-7a)+3(5a+8)=-75 equation:


Simplifying
-6(7 + -7a) + 3(5a + 8) = -75
(7 * -6 + -7a * -6) + 3(5a + 8) = -75
(-42 + 42a) + 3(5a + 8) = -75

Reorder the terms:
-42 + 42a + 3(8 + 5a) = -75
-42 + 42a + (8 * 3 + 5a * 3) = -75
-42 + 42a + (24 + 15a) = -75

Reorder the terms:
-42 + 24 + 42a + 15a = -75

Combine like terms: -42 + 24 = -18
-18 + 42a + 15a = -75

Combine like terms: 42a + 15a = 57a
-18 + 57a = -75

Solving
-18 + 57a = -75

Solving for variable 'a'.

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

Add '18' to each side of the equation.
-18 + 18 + 57a = -75 + 18

Combine like terms: -18 + 18 = 0
0 + 57a = -75 + 18
57a = -75 + 18

Combine like terms: -75 + 18 = -57
57a = -57

Divide each side by '57'.
a = -1

Simplifying
a = -1

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