7-16a=-3(4a-13)

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Solution for 7-16a=-3(4a-13) equation:


Simplifying
7 + -16a = -3(4a + -13)

Reorder the terms:
7 + -16a = -3(-13 + 4a)
7 + -16a = (-13 * -3 + 4a * -3)
7 + -16a = (39 + -12a)

Solving
7 + -16a = 39 + -12a

Solving for variable 'a'.

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

Add '12a' to each side of the equation.
7 + -16a + 12a = 39 + -12a + 12a

Combine like terms: -16a + 12a = -4a
7 + -4a = 39 + -12a + 12a

Combine like terms: -12a + 12a = 0
7 + -4a = 39 + 0
7 + -4a = 39

Add '-7' to each side of the equation.
7 + -7 + -4a = 39 + -7

Combine like terms: 7 + -7 = 0
0 + -4a = 39 + -7
-4a = 39 + -7

Combine like terms: 39 + -7 = 32
-4a = 32

Divide each side by '-4'.
a = -8

Simplifying
a = -8

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