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Simplifying (2b + 4) = 10(3b + -20) Reorder the terms: (4 + 2b) = 10(3b + -20) Remove parenthesis around (4 + 2b) 4 + 2b = 10(3b + -20) Reorder the terms: 4 + 2b = 10(-20 + 3b) 4 + 2b = (-20 * 10 + 3b * 10) 4 + 2b = (-200 + 30b) Solving 4 + 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. 4 + 2b + -30b = -200 + 30b + -30b Combine like terms: 2b + -30b = -28b 4 + -28b = -200 + 30b + -30b Combine like terms: 30b + -30b = 0 4 + -28b = -200 + 0 4 + -28b = -200 Add '-4' to each side of the equation. 4 + -4 + -28b = -200 + -4 Combine like terms: 4 + -4 = 0 0 + -28b = -200 + -4 -28b = -200 + -4 Combine like terms: -200 + -4 = -204 -28b = -204 Divide each side by '-28'. b = 7.285714286 Simplifying b = 7.285714286
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