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Simplifying 5(3 + -9b) = 3(-15 + -2) (3 * 5 + -9b * 5) = 3(-15 + -2) (15 + -45b) = 3(-15 + -2) Combine like terms: -15 + -2 = -17 15 + -45b = 3(-17) Multiply 3 * -17 15 + -45b = -51 Solving 15 + -45b = -51 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -45b = -51 + -15 Combine like terms: 15 + -15 = 0 0 + -45b = -51 + -15 -45b = -51 + -15 Combine like terms: -51 + -15 = -66 -45b = -66 Divide each side by '-45'. b = 1.466666667 Simplifying b = 1.466666667
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