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Simplifying 3(b + 10) = 4(b + -5) Reorder the terms: 3(10 + b) = 4(b + -5) (10 * 3 + b * 3) = 4(b + -5) (30 + 3b) = 4(b + -5) Reorder the terms: 30 + 3b = 4(-5 + b) 30 + 3b = (-5 * 4 + b * 4) 30 + 3b = (-20 + 4b) Solving 30 + 3b = -20 + 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. 30 + 3b + -4b = -20 + 4b + -4b Combine like terms: 3b + -4b = -1b 30 + -1b = -20 + 4b + -4b Combine like terms: 4b + -4b = 0 30 + -1b = -20 + 0 30 + -1b = -20 Add '-30' to each side of the equation. 30 + -30 + -1b = -20 + -30 Combine like terms: 30 + -30 = 0 0 + -1b = -20 + -30 -1b = -20 + -30 Combine like terms: -20 + -30 = -50 -1b = -50 Divide each side by '-1'. b = 50 Simplifying b = 50
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