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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) Add '45' to each side of the equation. -45 + 45 + 10b = -45 + 45 + 3b Combine like terms: -45 + 45 = 0 0 + 10b = -45 + 45 + 3b 10b = -45 + 45 + 3b Combine like terms: -45 + 45 = 0 10b = 0 + 3b 10b = 3b Solving 10b = 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. 10b + -3b = 3b + -3b Combine like terms: 10b + -3b = 7b 7b = 3b + -3b Combine like terms: 3b + -3b = 0 7b = 0 Divide each side by '7'. b = 0 Simplifying b = 0
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