-5(1-2a)-2=-19+7a

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Solution for -5(1-2a)-2=-19+7a equation:


Simplifying
-5(1 + -2a) + -2 = -19 + 7a
(1 * -5 + -2a * -5) + -2 = -19 + 7a
(-5 + 10a) + -2 = -19 + 7a

Reorder the terms:
-5 + -2 + 10a = -19 + 7a

Combine like terms: -5 + -2 = -7
-7 + 10a = -19 + 7a

Solving
-7 + 10a = -19 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
-7 + 10a + -7a = -19 + 7a + -7a

Combine like terms: 10a + -7a = 3a
-7 + 3a = -19 + 7a + -7a

Combine like terms: 7a + -7a = 0
-7 + 3a = -19 + 0
-7 + 3a = -19

Add '7' to each side of the equation.
-7 + 7 + 3a = -19 + 7

Combine like terms: -7 + 7 = 0
0 + 3a = -19 + 7
3a = -19 + 7

Combine like terms: -19 + 7 = -12
3a = -12

Divide each side by '3'.
a = -4

Simplifying
a = -4

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