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Simplifying 3 + 9(-1b + -5) = 2(-6b + -6) Reorder the terms: 3 + 9(-5 + -1b) = 2(-6b + -6) 3 + (-5 * 9 + -1b * 9) = 2(-6b + -6) 3 + (-45 + -9b) = 2(-6b + -6) Combine like terms: 3 + -45 = -42 -42 + -9b = 2(-6b + -6) Reorder the terms: -42 + -9b = 2(-6 + -6b) -42 + -9b = (-6 * 2 + -6b * 2) -42 + -9b = (-12 + -12b) Solving -42 + -9b = -12 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. -42 + -9b + 12b = -12 + -12b + 12b Combine like terms: -9b + 12b = 3b -42 + 3b = -12 + -12b + 12b Combine like terms: -12b + 12b = 0 -42 + 3b = -12 + 0 -42 + 3b = -12 Add '42' to each side of the equation. -42 + 42 + 3b = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 3b = -12 + 42 3b = -12 + 42 Combine like terms: -12 + 42 = 30 3b = 30 Divide each side by '3'. b = 10 Simplifying b = 10
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