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Simplifying 8b + -6 + -4 = -7(1 + -7b) + 5(-8b + -1) Reorder the terms: -6 + -4 + 8b = -7(1 + -7b) + 5(-8b + -1) Combine like terms: -6 + -4 = -10 -10 + 8b = -7(1 + -7b) + 5(-8b + -1) -10 + 8b = (1 * -7 + -7b * -7) + 5(-8b + -1) -10 + 8b = (-7 + 49b) + 5(-8b + -1) Reorder the terms: -10 + 8b = -7 + 49b + 5(-1 + -8b) -10 + 8b = -7 + 49b + (-1 * 5 + -8b * 5) -10 + 8b = -7 + 49b + (-5 + -40b) Reorder the terms: -10 + 8b = -7 + -5 + 49b + -40b Combine like terms: -7 + -5 = -12 -10 + 8b = -12 + 49b + -40b Combine like terms: 49b + -40b = 9b -10 + 8b = -12 + 9b Solving -10 + 8b = -12 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. -10 + 8b + -9b = -12 + 9b + -9b Combine like terms: 8b + -9b = -1b -10 + -1b = -12 + 9b + -9b Combine like terms: 9b + -9b = 0 -10 + -1b = -12 + 0 -10 + -1b = -12 Add '10' to each side of the equation. -10 + 10 + -1b = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -1b = -12 + 10 -1b = -12 + 10 Combine like terms: -12 + 10 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2
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