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Simplifying 5(2 + 3b) = 15 + -1(b + -7) (2 * 5 + 3b * 5) = 15 + -1(b + -7) (10 + 15b) = 15 + -1(b + -7) Reorder the terms: 10 + 15b = 15 + -1(-7 + b) 10 + 15b = 15 + (-7 * -1 + b * -1) 10 + 15b = 15 + (7 + -1b) Combine like terms: 15 + 7 = 22 10 + 15b = 22 + -1b Solving 10 + 15b = 22 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 10 + 15b + b = 22 + -1b + b Combine like terms: 15b + b = 16b 10 + 16b = 22 + -1b + b Combine like terms: -1b + b = 0 10 + 16b = 22 + 0 10 + 16b = 22 Add '-10' to each side of the equation. 10 + -10 + 16b = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 16b = 22 + -10 16b = 22 + -10 Combine like terms: 22 + -10 = 12 16b = 12 Divide each side by '16'. b = 0.75 Simplifying b = 0.75
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