4(1-6a)+7(7a+2)=-32

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Solution for 4(1-6a)+7(7a+2)=-32 equation: 


Simplifying
4(1 + -6a) + 7(7a + 2) = -32
(1 * 4 + -6a * 4) + 7(7a + 2) = -32
(4 + -24a) + 7(7a + 2) = -32

Reorder the terms:
4 + -24a + 7(2 + 7a) = -32
4 + -24a + (2 * 7 + 7a * 7) = -32
4 + -24a + (14 + 49a) = -32

Reorder the terms:
4 + 14 + -24a + 49a = -32

Combine like terms: 4 + 14 = 18
18 + -24a + 49a = -32

Combine like terms: -24a + 49a = 25a
18 + 25a = -32

Solving
18 + 25a = -32

Solving for variable 'a'.

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

Add '-18' to each side of the equation.
18 + -18 + 25a = -32 + -18

Combine like terms: 18 + -18 = 0
0 + 25a = -32 + -18
25a = -32 + -18

Combine like terms: -32 + -18 = -50
25a = -50

Divide each side by '25'.
a = -2

Simplifying
a = -2

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