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Simplifying 6b + -5b = -5(6b + -5) + 7(5b + -7) Combine like terms: 6b + -5b = 1b 1b = -5(6b + -5) + 7(5b + -7) Reorder the terms: 1b = -5(-5 + 6b) + 7(5b + -7) 1b = (-5 * -5 + 6b * -5) + 7(5b + -7) 1b = (25 + -30b) + 7(5b + -7) Reorder the terms: 1b = 25 + -30b + 7(-7 + 5b) 1b = 25 + -30b + (-7 * 7 + 5b * 7) 1b = 25 + -30b + (-49 + 35b) Reorder the terms: 1b = 25 + -49 + -30b + 35b Combine like terms: 25 + -49 = -24 1b = -24 + -30b + 35b Combine like terms: -30b + 35b = 5b 1b = -24 + 5b Solving 1b = -24 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 1b + -5b = -24 + 5b + -5b Combine like terms: 1b + -5b = -4b -4b = -24 + 5b + -5b Combine like terms: 5b + -5b = 0 -4b = -24 + 0 -4b = -24 Divide each side by '-4'. b = 6 Simplifying b = 6
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