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Simplifying -3(1 + 5b) = -6b + -30 (1 * -3 + 5b * -3) = -6b + -30 (-3 + -15b) = -6b + -30 Reorder the terms: -3 + -15b = -30 + -6b Solving -3 + -15b = -30 + -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. -3 + -15b + 6b = -30 + -6b + 6b Combine like terms: -15b + 6b = -9b -3 + -9b = -30 + -6b + 6b Combine like terms: -6b + 6b = 0 -3 + -9b = -30 + 0 -3 + -9b = -30 Add '3' to each side of the equation. -3 + 3 + -9b = -30 + 3 Combine like terms: -3 + 3 = 0 0 + -9b = -30 + 3 -9b = -30 + 3 Combine like terms: -30 + 3 = -27 -9b = -27 Divide each side by '-9'. b = 3 Simplifying b = 3
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