14-7a=-3(5a-2)

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Solution for 14-7a=-3(5a-2) equation:


Simplifying
14 + -7a = -3(5a + -2)

Reorder the terms:
14 + -7a = -3(-2 + 5a)
14 + -7a = (-2 * -3 + 5a * -3)
14 + -7a = (6 + -15a)

Solving
14 + -7a = 6 + -15a

Solving for variable 'a'.

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

Add '15a' to each side of the equation.
14 + -7a + 15a = 6 + -15a + 15a

Combine like terms: -7a + 15a = 8a
14 + 8a = 6 + -15a + 15a

Combine like terms: -15a + 15a = 0
14 + 8a = 6 + 0
14 + 8a = 6

Add '-14' to each side of the equation.
14 + -14 + 8a = 6 + -14

Combine like terms: 14 + -14 = 0
0 + 8a = 6 + -14
8a = 6 + -14

Combine like terms: 6 + -14 = -8
8a = -8

Divide each side by '8'.
a = -1

Simplifying
a = -1

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