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Simplifying 3(b + -6) = 8b + -15 Reorder the terms: 3(-6 + b) = 8b + -15 (-6 * 3 + b * 3) = 8b + -15 (-18 + 3b) = 8b + -15 Reorder the terms: -18 + 3b = -15 + 8b Solving -18 + 3b = -15 + 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. -18 + 3b + -8b = -15 + 8b + -8b Combine like terms: 3b + -8b = -5b -18 + -5b = -15 + 8b + -8b Combine like terms: 8b + -8b = 0 -18 + -5b = -15 + 0 -18 + -5b = -15 Add '18' to each side of the equation. -18 + 18 + -5b = -15 + 18 Combine like terms: -18 + 18 = 0 0 + -5b = -15 + 18 -5b = -15 + 18 Combine like terms: -15 + 18 = 3 -5b = 3 Divide each side by '-5'. b = -0.6 Simplifying b = -0.6
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