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Simplifying 3(-1b + -6) = -1(6b + 36) Reorder the terms: 3(-6 + -1b) = -1(6b + 36) (-6 * 3 + -1b * 3) = -1(6b + 36) (-18 + -3b) = -1(6b + 36) Reorder the terms: -18 + -3b = -1(36 + 6b) -18 + -3b = (36 * -1 + 6b * -1) -18 + -3b = (-36 + -6b) Solving -18 + -3b = -36 + -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. -18 + -3b + 6b = -36 + -6b + 6b Combine like terms: -3b + 6b = 3b -18 + 3b = -36 + -6b + 6b Combine like terms: -6b + 6b = 0 -18 + 3b = -36 + 0 -18 + 3b = -36 Add '18' to each side of the equation. -18 + 18 + 3b = -36 + 18 Combine like terms: -18 + 18 = 0 0 + 3b = -36 + 18 3b = -36 + 18 Combine like terms: -36 + 18 = -18 3b = -18 Divide each side by '3'. b = -6 Simplifying b = -6
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