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Simplifying -5b + 15 = 10b + 45 Reorder the terms: 15 + -5b = 10b + 45 Reorder the terms: 15 + -5b = 45 + 10b Solving 15 + -5b = 45 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 15 + -5b + -10b = 45 + 10b + -10b Combine like terms: -5b + -10b = -15b 15 + -15b = 45 + 10b + -10b Combine like terms: 10b + -10b = 0 15 + -15b = 45 + 0 15 + -15b = 45 Add '-15' to each side of the equation. 15 + -15 + -15b = 45 + -15 Combine like terms: 15 + -15 = 0 0 + -15b = 45 + -15 -15b = 45 + -15 Combine like terms: 45 + -15 = 30 -15b = 30 Divide each side by '-15'. b = -2 Simplifying b = -2
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