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Simplifying 3b + -5(3b + -7) = -2b + -15 Reorder the terms: 3b + -5(-7 + 3b) = -2b + -15 3b + (-7 * -5 + 3b * -5) = -2b + -15 3b + (35 + -15b) = -2b + -15 Reorder the terms: 35 + 3b + -15b = -2b + -15 Combine like terms: 3b + -15b = -12b 35 + -12b = -2b + -15 Reorder the terms: 35 + -12b = -15 + -2b Solving 35 + -12b = -15 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 35 + -12b + 2b = -15 + -2b + 2b Combine like terms: -12b + 2b = -10b 35 + -10b = -15 + -2b + 2b Combine like terms: -2b + 2b = 0 35 + -10b = -15 + 0 35 + -10b = -15 Add '-35' to each side of the equation. 35 + -35 + -10b = -15 + -35 Combine like terms: 35 + -35 = 0 0 + -10b = -15 + -35 -10b = -15 + -35 Combine like terms: -15 + -35 = -50 -10b = -50 Divide each side by '-10'. b = 5 Simplifying b = 5
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