(17b-9)-4(4b+1)=-6

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Solution for (17b-9)-4(4b+1)=-6 equation:


Simplifying
(17b + -9) + -4(4b + 1) = -6

Reorder the terms:
(-9 + 17b) + -4(4b + 1) = -6

Remove parenthesis around (-9 + 17b)
-9 + 17b + -4(4b + 1) = -6

Reorder the terms:
-9 + 17b + -4(1 + 4b) = -6
-9 + 17b + (1 * -4 + 4b * -4) = -6
-9 + 17b + (-4 + -16b) = -6

Reorder the terms:
-9 + -4 + 17b + -16b = -6

Combine like terms: -9 + -4 = -13
-13 + 17b + -16b = -6

Combine like terms: 17b + -16b = 1b
-13 + 1b = -6

Solving
-13 + 1b = -6

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 = -6 + 13

Combine like terms: -13 + 13 = 0
0 + 1b = -6 + 13
1b = -6 + 13

Combine like terms: -6 + 13 = 7
1b = 7

Divide each side by '1'.
b = 7

Simplifying
b = 7

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