-3(5a-7)=-4a+32

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Solution for -3(5a-7)=-4a+32 equation:


Simplifying
-3(5a + -7) = -4a + 32

Reorder the terms:
-3(-7 + 5a) = -4a + 32
(-7 * -3 + 5a * -3) = -4a + 32
(21 + -15a) = -4a + 32

Reorder the terms:
21 + -15a = 32 + -4a

Solving
21 + -15a = 32 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
21 + -15a + 4a = 32 + -4a + 4a

Combine like terms: -15a + 4a = -11a
21 + -11a = 32 + -4a + 4a

Combine like terms: -4a + 4a = 0
21 + -11a = 32 + 0
21 + -11a = 32

Add '-21' to each side of the equation.
21 + -21 + -11a = 32 + -21

Combine like terms: 21 + -21 = 0
0 + -11a = 32 + -21
-11a = 32 + -21

Combine like terms: 32 + -21 = 11
-11a = 11

Divide each side by '-11'.
a = -1

Simplifying
a = -1

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