(17b-5)-4(4b+3)=-3

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Solution for (17b-5)-4(4b+3)=-3 equation:


Simplifying
(17b + -5) + -4(4b + 3) = -3

Reorder the terms:
(-5 + 17b) + -4(4b + 3) = -3

Remove parenthesis around (-5 + 17b)
-5 + 17b + -4(4b + 3) = -3

Reorder the terms:
-5 + 17b + -4(3 + 4b) = -3
-5 + 17b + (3 * -4 + 4b * -4) = -3
-5 + 17b + (-12 + -16b) = -3

Reorder the terms:
-5 + -12 + 17b + -16b = -3

Combine like terms: -5 + -12 = -17
-17 + 17b + -16b = -3

Combine like terms: 17b + -16b = 1b
-17 + 1b = -3

Solving
-17 + 1b = -3

Solving for variable 'b'.

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

Add '17' to each side of the equation.
-17 + 17 + 1b = -3 + 17

Combine like terms: -17 + 17 = 0
0 + 1b = -3 + 17
1b = -3 + 17

Combine like terms: -3 + 17 = 14
1b = 14

Divide each side by '1'.
b = 14

Simplifying
b = 14

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