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Simplifying 2(b + -4) = 3(b + 5) Reorder the terms: 2(-4 + b) = 3(b + 5) (-4 * 2 + b * 2) = 3(b + 5) (-8 + 2b) = 3(b + 5) Reorder the terms: -8 + 2b = 3(5 + b) -8 + 2b = (5 * 3 + b * 3) -8 + 2b = (15 + 3b) Solving -8 + 2b = 15 + 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. -8 + 2b + -3b = 15 + 3b + -3b Combine like terms: 2b + -3b = -1b -8 + -1b = 15 + 3b + -3b Combine like terms: 3b + -3b = 0 -8 + -1b = 15 + 0 -8 + -1b = 15 Add '8' to each side of the equation. -8 + 8 + -1b = 15 + 8 Combine like terms: -8 + 8 = 0 0 + -1b = 15 + 8 -1b = 15 + 8 Combine like terms: 15 + 8 = 23 -1b = 23 Divide each side by '-1'. b = -23 Simplifying b = -23
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