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Simplifying -8(6 + 5b) = 3b + -5 (6 * -8 + 5b * -8) = 3b + -5 (-48 + -40b) = 3b + -5 Reorder the terms: -48 + -40b = -5 + 3b Solving -48 + -40b = -5 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -48 + -40b + -3b = -5 + 3b + -3b Combine like terms: -40b + -3b = -43b -48 + -43b = -5 + 3b + -3b Combine like terms: 3b + -3b = 0 -48 + -43b = -5 + 0 -48 + -43b = -5 Add '48' to each side of the equation. -48 + 48 + -43b = -5 + 48 Combine like terms: -48 + 48 = 0 0 + -43b = -5 + 48 -43b = -5 + 48 Combine like terms: -5 + 48 = 43 -43b = 43 Divide each side by '-43'. b = -1 Simplifying b = -1
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