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Simplifying 5(b + -6) = 3 + 8(b + 9) Reorder the terms: 5(-6 + b) = 3 + 8(b + 9) (-6 * 5 + b * 5) = 3 + 8(b + 9) (-30 + 5b) = 3 + 8(b + 9) Reorder the terms: -30 + 5b = 3 + 8(9 + b) -30 + 5b = 3 + (9 * 8 + b * 8) -30 + 5b = 3 + (72 + 8b) Combine like terms: 3 + 72 = 75 -30 + 5b = 75 + 8b Solving -30 + 5b = 75 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -30 + 5b + -8b = 75 + 8b + -8b Combine like terms: 5b + -8b = -3b -30 + -3b = 75 + 8b + -8b Combine like terms: 8b + -8b = 0 -30 + -3b = 75 + 0 -30 + -3b = 75 Add '30' to each side of the equation. -30 + 30 + -3b = 75 + 30 Combine like terms: -30 + 30 = 0 0 + -3b = 75 + 30 -3b = 75 + 30 Combine like terms: 75 + 30 = 105 -3b = 105 Divide each side by '-3'. b = -35 Simplifying b = -35
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