(17b-2)-4(4b+4)=-7

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Solution for (17b-2)-4(4b+4)=-7 equation:


Simplifying
(17b + -2) + -4(4b + 4) = -7

Reorder the terms:
(-2 + 17b) + -4(4b + 4) = -7

Remove parenthesis around (-2 + 17b)
-2 + 17b + -4(4b + 4) = -7

Reorder the terms:
-2 + 17b + -4(4 + 4b) = -7
-2 + 17b + (4 * -4 + 4b * -4) = -7
-2 + 17b + (-16 + -16b) = -7

Reorder the terms:
-2 + -16 + 17b + -16b = -7

Combine like terms: -2 + -16 = -18
-18 + 17b + -16b = -7

Combine like terms: 17b + -16b = 1b
-18 + 1b = -7

Solving
-18 + 1b = -7

Solving for variable 'b'.

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

Add '18' to each side of the equation.
-18 + 18 + 1b = -7 + 18

Combine like terms: -18 + 18 = 0
0 + 1b = -7 + 18
1b = -7 + 18

Combine like terms: -7 + 18 = 11
1b = 11

Divide each side by '1'.
b = 11

Simplifying
b = 11

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