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Simplifying 5(b + -4) = 6(3 + b) Reorder the terms: 5(-4 + b) = 6(3 + b) (-4 * 5 + b * 5) = 6(3 + b) (-20 + 5b) = 6(3 + b) -20 + 5b = (3 * 6 + b * 6) -20 + 5b = (18 + 6b) Solving -20 + 5b = 18 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -20 + 5b + -6b = 18 + 6b + -6b Combine like terms: 5b + -6b = -1b -20 + -1b = 18 + 6b + -6b Combine like terms: 6b + -6b = 0 -20 + -1b = 18 + 0 -20 + -1b = 18 Add '20' to each side of the equation. -20 + 20 + -1b = 18 + 20 Combine like terms: -20 + 20 = 0 0 + -1b = 18 + 20 -1b = 18 + 20 Combine like terms: 18 + 20 = 38 -1b = 38 Divide each side by '-1'. b = -38 Simplifying b = -38
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