(17b-9)-4(4b+1)=-5

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Solution for (17b-9)-4(4b+1)=-5 equation:


Simplifying
(17b + -9) + -4(4b + 1) = -5

Reorder the terms:
(-9 + 17b) + -4(4b + 1) = -5

Remove parenthesis around (-9 + 17b)
-9 + 17b + -4(4b + 1) = -5

Reorder the terms:
-9 + 17b + -4(1 + 4b) = -5
-9 + 17b + (1 * -4 + 4b * -4) = -5
-9 + 17b + (-4 + -16b) = -5

Reorder the terms:
-9 + -4 + 17b + -16b = -5

Combine like terms: -9 + -4 = -13
-13 + 17b + -16b = -5

Combine like terms: 17b + -16b = 1b
-13 + 1b = -5

Solving
-13 + 1b = -5

Solving for variable 'b'.

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

Add '13' to each side of the equation.
-13 + 13 + 1b = -5 + 13

Combine like terms: -13 + 13 = 0
0 + 1b = -5 + 13
1b = -5 + 13

Combine like terms: -5 + 13 = 8
1b = 8

Divide each side by '1'.
b = 8

Simplifying
b = 8

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