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Simplifying 3(b + -6) = 3b + -6(b + -5) Reorder the terms: 3(-6 + b) = 3b + -6(b + -5) (-6 * 3 + b * 3) = 3b + -6(b + -5) (-18 + 3b) = 3b + -6(b + -5) Reorder the terms: -18 + 3b = 3b + -6(-5 + b) -18 + 3b = 3b + (-5 * -6 + b * -6) -18 + 3b = 3b + (30 + -6b) Reorder the terms: -18 + 3b = 30 + 3b + -6b Combine like terms: 3b + -6b = -3b -18 + 3b = 30 + -3b Solving -18 + 3b = 30 + -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. -18 + 3b + 3b = 30 + -3b + 3b Combine like terms: 3b + 3b = 6b -18 + 6b = 30 + -3b + 3b Combine like terms: -3b + 3b = 0 -18 + 6b = 30 + 0 -18 + 6b = 30 Add '18' to each side of the equation. -18 + 18 + 6b = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 6b = 30 + 18 6b = 30 + 18 Combine like terms: 30 + 18 = 48 6b = 48 Divide each side by '6'. b = 8 Simplifying b = 8
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