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Simplifying 3(3 + 2b) = -3(5 + -4b) (3 * 3 + 2b * 3) = -3(5 + -4b) (9 + 6b) = -3(5 + -4b) 9 + 6b = (5 * -3 + -4b * -3) 9 + 6b = (-15 + 12b) Solving 9 + 6b = -15 + 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 + 6b + -12b = -15 + 12b + -12b Combine like terms: 6b + -12b = -6b 9 + -6b = -15 + 12b + -12b Combine like terms: 12b + -12b = 0 9 + -6b = -15 + 0 9 + -6b = -15 Add '-9' to each side of the equation. 9 + -9 + -6b = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -6b = -15 + -9 -6b = -15 + -9 Combine like terms: -15 + -9 = -24 -6b = -24 Divide each side by '-6'. b = 4 Simplifying b = 4
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