(16b-2)-5(3b+4)=-7

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Solution for (16b-2)-5(3b+4)=-7 equation:


Simplifying
(16b + -2) + -5(3b + 4) = -7

Reorder the terms:
(-2 + 16b) + -5(3b + 4) = -7

Remove parenthesis around (-2 + 16b)
-2 + 16b + -5(3b + 4) = -7

Reorder the terms:
-2 + 16b + -5(4 + 3b) = -7
-2 + 16b + (4 * -5 + 3b * -5) = -7
-2 + 16b + (-20 + -15b) = -7

Reorder the terms:
-2 + -20 + 16b + -15b = -7

Combine like terms: -2 + -20 = -22
-22 + 16b + -15b = -7

Combine like terms: 16b + -15b = 1b
-22 + 1b = -7

Solving
-22 + 1b = -7

Solving for variable 'b'.

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

Add '22' to each side of the equation.
-22 + 22 + 1b = -7 + 22

Combine like terms: -22 + 22 = 0
0 + 1b = -7 + 22
1b = -7 + 22

Combine like terms: -7 + 22 = 15
1b = 15

Divide each side by '1'.
b = 15

Simplifying
b = 15

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