-3(a-4)=4a-37

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Solution for -3(a-4)=4a-37 equation:


Simplifying
-3(a + -4) = 4a + -37

Reorder the terms:
-3(-4 + a) = 4a + -37
(-4 * -3 + a * -3) = 4a + -37
(12 + -3a) = 4a + -37

Reorder the terms:
12 + -3a = -37 + 4a

Solving
12 + -3a = -37 + 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.
12 + -3a + -4a = -37 + 4a + -4a

Combine like terms: -3a + -4a = -7a
12 + -7a = -37 + 4a + -4a

Combine like terms: 4a + -4a = 0
12 + -7a = -37 + 0
12 + -7a = -37

Add '-12' to each side of the equation.
12 + -12 + -7a = -37 + -12

Combine like terms: 12 + -12 = 0
0 + -7a = -37 + -12
-7a = -37 + -12

Combine like terms: -37 + -12 = -49
-7a = -49

Divide each side by '-7'.
a = 7

Simplifying
a = 7

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