-2(5a-8)-2=-4(a+7)

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Solution for -2(5a-8)-2=-4(a+7) equation:


Simplifying
-2(5a + -8) + -2 = -4(a + 7)

Reorder the terms:
-2(-8 + 5a) + -2 = -4(a + 7)
(-8 * -2 + 5a * -2) + -2 = -4(a + 7)
(16 + -10a) + -2 = -4(a + 7)

Reorder the terms:
16 + -2 + -10a = -4(a + 7)

Combine like terms: 16 + -2 = 14
14 + -10a = -4(a + 7)

Reorder the terms:
14 + -10a = -4(7 + a)
14 + -10a = (7 * -4 + a * -4)
14 + -10a = (-28 + -4a)

Solving
14 + -10a = -28 + -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.
14 + -10a + 4a = -28 + -4a + 4a

Combine like terms: -10a + 4a = -6a
14 + -6a = -28 + -4a + 4a

Combine like terms: -4a + 4a = 0
14 + -6a = -28 + 0
14 + -6a = -28

Add '-14' to each side of the equation.
14 + -14 + -6a = -28 + -14

Combine like terms: 14 + -14 = 0
0 + -6a = -28 + -14
-6a = -28 + -14

Combine like terms: -28 + -14 = -42
-6a = -42

Divide each side by '-6'.
a = 7

Simplifying
a = 7

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