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Simplifying 2(b + 4) = 10(3b + -20) Reorder the terms: 2(4 + b) = 10(3b + -20) (4 * 2 + b * 2) = 10(3b + -20) (8 + 2b) = 10(3b + -20) Reorder the terms: 8 + 2b = 10(-20 + 3b) 8 + 2b = (-20 * 10 + 3b * 10) 8 + 2b = (-200 + 30b) Solving 8 + 2b = -200 + 30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30b' to each side of the equation. 8 + 2b + -30b = -200 + 30b + -30b Combine like terms: 2b + -30b = -28b 8 + -28b = -200 + 30b + -30b Combine like terms: 30b + -30b = 0 8 + -28b = -200 + 0 8 + -28b = -200 Add '-8' to each side of the equation. 8 + -8 + -28b = -200 + -8 Combine like terms: 8 + -8 = 0 0 + -28b = -200 + -8 -28b = -200 + -8 Combine like terms: -200 + -8 = -208 -28b = -208 Divide each side by '-28'. b = 7.428571429 Simplifying b = 7.428571429
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