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

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


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

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

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

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

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

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

Combine like terms: 17b + -16b = 1b
-9 + 1b = -4

Solving
-9 + 1b = -4

Solving for variable 'b'.

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

Add '9' to each side of the equation.
-9 + 9 + 1b = -4 + 9

Combine like terms: -9 + 9 = 0
0 + 1b = -4 + 9
1b = -4 + 9

Combine like terms: -4 + 9 = 5
1b = 5

Divide each side by '1'.
b = 5

Simplifying
b = 5

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