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Simplifying 3(7b + -5) = -6(b + 4) Reorder the terms: 3(-5 + 7b) = -6(b + 4) (-5 * 3 + 7b * 3) = -6(b + 4) (-15 + 21b) = -6(b + 4) Reorder the terms: -15 + 21b = -6(4 + b) -15 + 21b = (4 * -6 + b * -6) -15 + 21b = (-24 + -6b) Solving -15 + 21b = -24 + -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. -15 + 21b + 6b = -24 + -6b + 6b Combine like terms: 21b + 6b = 27b -15 + 27b = -24 + -6b + 6b Combine like terms: -6b + 6b = 0 -15 + 27b = -24 + 0 -15 + 27b = -24 Add '15' to each side of the equation. -15 + 15 + 27b = -24 + 15 Combine like terms: -15 + 15 = 0 0 + 27b = -24 + 15 27b = -24 + 15 Combine like terms: -24 + 15 = -9 27b = -9 Divide each side by '27'. b = -0.3333333333 Simplifying b = -0.3333333333
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