-7(3-3a)-8(6a+5)=32

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Solution for -7(3-3a)-8(6a+5)=32 equation:


Simplifying
-7(3 + -3a) + -8(6a + 5) = 32
(3 * -7 + -3a * -7) + -8(6a + 5) = 32
(-21 + 21a) + -8(6a + 5) = 32

Reorder the terms:
-21 + 21a + -8(5 + 6a) = 32
-21 + 21a + (5 * -8 + 6a * -8) = 32
-21 + 21a + (-40 + -48a) = 32

Reorder the terms:
-21 + -40 + 21a + -48a = 32

Combine like terms: -21 + -40 = -61
-61 + 21a + -48a = 32

Combine like terms: 21a + -48a = -27a
-61 + -27a = 32

Solving
-61 + -27a = 32

Solving for variable 'a'.

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

Add '61' to each side of the equation.
-61 + 61 + -27a = 32 + 61

Combine like terms: -61 + 61 = 0
0 + -27a = 32 + 61
-27a = 32 + 61

Combine like terms: 32 + 61 = 93
-27a = 93

Divide each side by '-27'.
a = -3.444444444

Simplifying
a = -3.444444444

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