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Simplifying 10b + 45 = 3(b + -15) Reorder the terms: 45 + 10b = 3(b + -15) Reorder the terms: 45 + 10b = 3(-15 + b) 45 + 10b = (-15 * 3 + b * 3) 45 + 10b = (-45 + 3b) Solving 45 + 10b = -45 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 45 + 10b + -3b = -45 + 3b + -3b Combine like terms: 10b + -3b = 7b 45 + 7b = -45 + 3b + -3b Combine like terms: 3b + -3b = 0 45 + 7b = -45 + 0 45 + 7b = -45 Add '-45' to each side of the equation. 45 + -45 + 7b = -45 + -45 Combine like terms: 45 + -45 = 0 0 + 7b = -45 + -45 7b = -45 + -45 Combine like terms: -45 + -45 = -90 7b = -90 Divide each side by '7'. b = -12.85714286 Simplifying b = -12.85714286
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