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Simplifying 3(b + -5) = 4(b + 2) Reorder the terms: 3(-5 + b) = 4(b + 2) (-5 * 3 + b * 3) = 4(b + 2) (-15 + 3b) = 4(b + 2) Reorder the terms: -15 + 3b = 4(2 + b) -15 + 3b = (2 * 4 + b * 4) -15 + 3b = (8 + 4b) Solving -15 + 3b = 8 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -15 + 3b + -4b = 8 + 4b + -4b Combine like terms: 3b + -4b = -1b -15 + -1b = 8 + 4b + -4b Combine like terms: 4b + -4b = 0 -15 + -1b = 8 + 0 -15 + -1b = 8 Add '15' to each side of the equation. -15 + 15 + -1b = 8 + 15 Combine like terms: -15 + 15 = 0 0 + -1b = 8 + 15 -1b = 8 + 15 Combine like terms: 8 + 15 = 23 -1b = 23 Divide each side by '-1'. b = -23 Simplifying b = -23
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