5(B-6)+4(2B+7)=102

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Solution for 5(B-6)+4(2B+7)=102 equation:


Simplifying
5(B + -6) + 4(2B + 7) = 102

Reorder the terms:
5(-6 + B) + 4(2B + 7) = 102
(-6 * 5 + B * 5) + 4(2B + 7) = 102
(-30 + 5B) + 4(2B + 7) = 102

Reorder the terms:
-30 + 5B + 4(7 + 2B) = 102
-30 + 5B + (7 * 4 + 2B * 4) = 102
-30 + 5B + (28 + 8B) = 102

Reorder the terms:
-30 + 28 + 5B + 8B = 102

Combine like terms: -30 + 28 = -2
-2 + 5B + 8B = 102

Combine like terms: 5B + 8B = 13B
-2 + 13B = 102

Solving
-2 + 13B = 102

Solving for variable 'B'.

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

Add '2' to each side of the equation.
-2 + 2 + 13B = 102 + 2

Combine like terms: -2 + 2 = 0
0 + 13B = 102 + 2
13B = 102 + 2

Combine like terms: 102 + 2 = 104
13B = 104

Divide each side by '13'.
B = 8

Simplifying
B = 8

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