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Simplifying 5(b + -3) = 7(b + -2) Reorder the terms: 5(-3 + b) = 7(b + -2) (-3 * 5 + b * 5) = 7(b + -2) (-15 + 5b) = 7(b + -2) Reorder the terms: -15 + 5b = 7(-2 + b) -15 + 5b = (-2 * 7 + b * 7) -15 + 5b = (-14 + 7b) Solving -15 + 5b = -14 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -15 + 5b + -7b = -14 + 7b + -7b Combine like terms: 5b + -7b = -2b -15 + -2b = -14 + 7b + -7b Combine like terms: 7b + -7b = 0 -15 + -2b = -14 + 0 -15 + -2b = -14 Add '15' to each side of the equation. -15 + 15 + -2b = -14 + 15 Combine like terms: -15 + 15 = 0 0 + -2b = -14 + 15 -2b = -14 + 15 Combine like terms: -14 + 15 = 1 -2b = 1 Divide each side by '-2'. b = -0.5 Simplifying b = -0.5
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