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Simplifying -3(3b + -15) = 6(2b + 5) Reorder the terms: -3(-15 + 3b) = 6(2b + 5) (-15 * -3 + 3b * -3) = 6(2b + 5) (45 + -9b) = 6(2b + 5) Reorder the terms: 45 + -9b = 6(5 + 2b) 45 + -9b = (5 * 6 + 2b * 6) 45 + -9b = (30 + 12b) Solving 45 + -9b = 30 + 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. 45 + -9b + -12b = 30 + 12b + -12b Combine like terms: -9b + -12b = -21b 45 + -21b = 30 + 12b + -12b Combine like terms: 12b + -12b = 0 45 + -21b = 30 + 0 45 + -21b = 30 Add '-45' to each side of the equation. 45 + -45 + -21b = 30 + -45 Combine like terms: 45 + -45 = 0 0 + -21b = 30 + -45 -21b = 30 + -45 Combine like terms: 30 + -45 = -15 -21b = -15 Divide each side by '-21'. b = 0.7142857143 Simplifying b = 0.7142857143
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