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Simplifying 106 + -45 = 3(b + -15) Combine like terms: 106 + -45 = 61 61 = 3(b + -15) Reorder the terms: 61 = 3(-15 + b) 61 = (-15 * 3 + b * 3) 61 = (-45 + 3b) Solving 61 = -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. 61 + -3b = -45 + 3b + -3b Combine like terms: 3b + -3b = 0 61 + -3b = -45 + 0 61 + -3b = -45 Add '-61' to each side of the equation. 61 + -61 + -3b = -45 + -61 Combine like terms: 61 + -61 = 0 0 + -3b = -45 + -61 -3b = -45 + -61 Combine like terms: -45 + -61 = -106 -3b = -106 Divide each side by '-3'. b = 35.33333333 Simplifying b = 35.33333333
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