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Simplifying 5(b + -6) = 3(b + 4) Reorder the terms: 5(-6 + b) = 3(b + 4) (-6 * 5 + b * 5) = 3(b + 4) (-30 + 5b) = 3(b + 4) Reorder the terms: -30 + 5b = 3(4 + b) -30 + 5b = (4 * 3 + b * 3) -30 + 5b = (12 + 3b) Solving -30 + 5b = 12 + 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. -30 + 5b + -3b = 12 + 3b + -3b Combine like terms: 5b + -3b = 2b -30 + 2b = 12 + 3b + -3b Combine like terms: 3b + -3b = 0 -30 + 2b = 12 + 0 -30 + 2b = 12 Add '30' to each side of the equation. -30 + 30 + 2b = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 2b = 12 + 30 2b = 12 + 30 Combine like terms: 12 + 30 = 42 2b = 42 Divide each side by '2'. b = 21 Simplifying b = 21
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