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Simplifying -3(-5b + -3) = 6(2b + -6) Reorder the terms: -3(-3 + -5b) = 6(2b + -6) (-3 * -3 + -5b * -3) = 6(2b + -6) (9 + 15b) = 6(2b + -6) Reorder the terms: 9 + 15b = 6(-6 + 2b) 9 + 15b = (-6 * 6 + 2b * 6) 9 + 15b = (-36 + 12b) Solving 9 + 15b = -36 + 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. 9 + 15b + -12b = -36 + 12b + -12b Combine like terms: 15b + -12b = 3b 9 + 3b = -36 + 12b + -12b Combine like terms: 12b + -12b = 0 9 + 3b = -36 + 0 9 + 3b = -36 Add '-9' to each side of the equation. 9 + -9 + 3b = -36 + -9 Combine like terms: 9 + -9 = 0 0 + 3b = -36 + -9 3b = -36 + -9 Combine like terms: -36 + -9 = -45 3b = -45 Divide each side by '3'. b = -15 Simplifying b = -15
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