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Simplifying 5(b + -3) = 2(5b + 3) Reorder the terms: 5(-3 + b) = 2(5b + 3) (-3 * 5 + b * 5) = 2(5b + 3) (-15 + 5b) = 2(5b + 3) Reorder the terms: -15 + 5b = 2(3 + 5b) -15 + 5b = (3 * 2 + 5b * 2) -15 + 5b = (6 + 10b) Solving -15 + 5b = 6 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -15 + 5b + -10b = 6 + 10b + -10b Combine like terms: 5b + -10b = -5b -15 + -5b = 6 + 10b + -10b Combine like terms: 10b + -10b = 0 -15 + -5b = 6 + 0 -15 + -5b = 6 Add '15' to each side of the equation. -15 + 15 + -5b = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -5b = 6 + 15 -5b = 6 + 15 Combine like terms: 6 + 15 = 21 -5b = 21 Divide each side by '-5'. b = -4.2 Simplifying b = -4.2
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