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Simplifying -1(6b + 5) + 8(-2b + -8) = -7b + 8b Reorder the terms: -1(5 + 6b) + 8(-2b + -8) = -7b + 8b (5 * -1 + 6b * -1) + 8(-2b + -8) = -7b + 8b (-5 + -6b) + 8(-2b + -8) = -7b + 8b Reorder the terms: -5 + -6b + 8(-8 + -2b) = -7b + 8b -5 + -6b + (-8 * 8 + -2b * 8) = -7b + 8b -5 + -6b + (-64 + -16b) = -7b + 8b Reorder the terms: -5 + -64 + -6b + -16b = -7b + 8b Combine like terms: -5 + -64 = -69 -69 + -6b + -16b = -7b + 8b Combine like terms: -6b + -16b = -22b -69 + -22b = -7b + 8b Combine like terms: -7b + 8b = 1b -69 + -22b = 1b Solving -69 + -22b = 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -69 + -22b + -1b = 1b + -1b Combine like terms: -22b + -1b = -23b -69 + -23b = 1b + -1b Combine like terms: 1b + -1b = 0 -69 + -23b = 0 Add '69' to each side of the equation. -69 + 69 + -23b = 0 + 69 Combine like terms: -69 + 69 = 0 0 + -23b = 0 + 69 -23b = 0 + 69 Combine like terms: 0 + 69 = 69 -23b = 69 Divide each side by '-23'. b = -3 Simplifying b = -3
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