(17b-9)-4(4b+3)=-7

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Solution for (17b-9)-4(4b+3)=-7 equation:


Simplifying
(17b + -9) + -4(4b + 3) = -7

Reorder the terms:
(-9 + 17b) + -4(4b + 3) = -7

Remove parenthesis around (-9 + 17b)
-9 + 17b + -4(4b + 3) = -7

Reorder the terms:
-9 + 17b + -4(3 + 4b) = -7
-9 + 17b + (3 * -4 + 4b * -4) = -7
-9 + 17b + (-12 + -16b) = -7

Reorder the terms:
-9 + -12 + 17b + -16b = -7

Combine like terms: -9 + -12 = -21
-21 + 17b + -16b = -7

Combine like terms: 17b + -16b = 1b
-21 + 1b = -7

Solving
-21 + 1b = -7

Solving for variable 'b'.

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

Add '21' to each side of the equation.
-21 + 21 + 1b = -7 + 21

Combine like terms: -21 + 21 = 0
0 + 1b = -7 + 21
1b = -7 + 21

Combine like terms: -7 + 21 = 14
1b = 14

Divide each side by '1'.
b = 14

Simplifying
b = 14

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