-65=7(8b+3)-2(1+7b)

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Solution for -65=7(8b+3)-2(1+7b) equation:


Simplifying
-65 = 7(8b + 3) + -2(1 + 7b)

Reorder the terms:
-65 = 7(3 + 8b) + -2(1 + 7b)
-65 = (3 * 7 + 8b * 7) + -2(1 + 7b)
-65 = (21 + 56b) + -2(1 + 7b)
-65 = 21 + 56b + (1 * -2 + 7b * -2)
-65 = 21 + 56b + (-2 + -14b)

Reorder the terms:
-65 = 21 + -2 + 56b + -14b

Combine like terms: 21 + -2 = 19
-65 = 19 + 56b + -14b

Combine like terms: 56b + -14b = 42b
-65 = 19 + 42b

Solving
-65 = 19 + 42b

Solving for variable 'b'.

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

Add '-42b' to each side of the equation.
-65 + -42b = 19 + 42b + -42b

Combine like terms: 42b + -42b = 0
-65 + -42b = 19 + 0
-65 + -42b = 19

Add '65' to each side of the equation.
-65 + 65 + -42b = 19 + 65

Combine like terms: -65 + 65 = 0
0 + -42b = 19 + 65
-42b = 19 + 65

Combine like terms: 19 + 65 = 84
-42b = 84

Divide each side by '-42'.
b = -2

Simplifying
b = -2

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