-4(4b+16)+7(b+14)=b-13+b-8

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Solution for -4(4b+16)+7(b+14)=b-13+b-8 equation:


Simplifying
-4(4b + 16) + 7(b + 14) = b + -13 + b + -8

Reorder the terms:
-4(16 + 4b) + 7(b + 14) = b + -13 + b + -8
(16 * -4 + 4b * -4) + 7(b + 14) = b + -13 + b + -8
(-64 + -16b) + 7(b + 14) = b + -13 + b + -8

Reorder the terms:
-64 + -16b + 7(14 + b) = b + -13 + b + -8
-64 + -16b + (14 * 7 + b * 7) = b + -13 + b + -8
-64 + -16b + (98 + 7b) = b + -13 + b + -8

Reorder the terms:
-64 + 98 + -16b + 7b = b + -13 + b + -8

Combine like terms: -64 + 98 = 34
34 + -16b + 7b = b + -13 + b + -8

Combine like terms: -16b + 7b = -9b
34 + -9b = b + -13 + b + -8

Reorder the terms:
34 + -9b = -13 + -8 + b + b

Combine like terms: -13 + -8 = -21
34 + -9b = -21 + b + b

Combine like terms: b + b = 2b
34 + -9b = -21 + 2b

Solving
34 + -9b = -21 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
34 + -9b + -2b = -21 + 2b + -2b

Combine like terms: -9b + -2b = -11b
34 + -11b = -21 + 2b + -2b

Combine like terms: 2b + -2b = 0
34 + -11b = -21 + 0
34 + -11b = -21

Add '-34' to each side of the equation.
34 + -34 + -11b = -21 + -34

Combine like terms: 34 + -34 = 0
0 + -11b = -21 + -34
-11b = -21 + -34

Combine like terms: -21 + -34 = -55
-11b = -55

Divide each side by '-11'.
b = 5

Simplifying
b = 5

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