8-4a+3(2-4a)=-7[3(2a-1)-4(a+1)]

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Solution for 8-4a+3(2-4a)=-7[3(2a-1)-4(a+1)] equation:


Simplifying
8 + -4a + 3(2 + -4a) = -7[3(2a + -1) + -4(a + 1)]
8 + -4a + (2 * 3 + -4a * 3) = -7[3(2a + -1) + -4(a + 1)]
8 + -4a + (6 + -12a) = -7[3(2a + -1) + -4(a + 1)]

Reorder the terms:
8 + 6 + -4a + -12a = -7[3(2a + -1) + -4(a + 1)]

Combine like terms: 8 + 6 = 14
14 + -4a + -12a = -7[3(2a + -1) + -4(a + 1)]

Combine like terms: -4a + -12a = -16a
14 + -16a = -7[3(2a + -1) + -4(a + 1)]

Reorder the terms:
14 + -16a = -7[3(-1 + 2a) + -4(a + 1)]
14 + -16a = -7[(-1 * 3 + 2a * 3) + -4(a + 1)]
14 + -16a = -7[(-3 + 6a) + -4(a + 1)]

Reorder the terms:
14 + -16a = -7[-3 + 6a + -4(1 + a)]
14 + -16a = -7[-3 + 6a + (1 * -4 + a * -4)]
14 + -16a = -7[-3 + 6a + (-4 + -4a)]

Reorder the terms:
14 + -16a = -7[-3 + -4 + 6a + -4a]

Combine like terms: -3 + -4 = -7
14 + -16a = -7[-7 + 6a + -4a]

Combine like terms: 6a + -4a = 2a
14 + -16a = -7[-7 + 2a]
14 + -16a = [-7 * -7 + 2a * -7]
14 + -16a = [49 + -14a]

Solving
14 + -16a = 49 + -14a

Solving for variable 'a'.

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

Add '14a' to each side of the equation.
14 + -16a + 14a = 49 + -14a + 14a

Combine like terms: -16a + 14a = -2a
14 + -2a = 49 + -14a + 14a

Combine like terms: -14a + 14a = 0
14 + -2a = 49 + 0
14 + -2a = 49

Add '-14' to each side of the equation.
14 + -14 + -2a = 49 + -14

Combine like terms: 14 + -14 = 0
0 + -2a = 49 + -14
-2a = 49 + -14

Combine like terms: 49 + -14 = 35
-2a = 35

Divide each side by '-2'.
a = -17.5

Simplifying
a = -17.5

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