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Simplifying 10b + -45 = 3(b + -13) Reorder the terms: -45 + 10b = 3(b + -13) Reorder the terms: -45 + 10b = 3(-13 + b) -45 + 10b = (-13 * 3 + b * 3) -45 + 10b = (-39 + 3b) Solving -45 + 10b = -39 + 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 = -39 + 3b + -3b Combine like terms: 10b + -3b = 7b -45 + 7b = -39 + 3b + -3b Combine like terms: 3b + -3b = 0 -45 + 7b = -39 + 0 -45 + 7b = -39 Add '45' to each side of the equation. -45 + 45 + 7b = -39 + 45 Combine like terms: -45 + 45 = 0 0 + 7b = -39 + 45 7b = -39 + 45 Combine like terms: -39 + 45 = 6 7b = 6 Divide each side by '7'. b = 0.8571428571 Simplifying b = 0.8571428571
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