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Simplifying 5(b + 4) = 2(b + 6) + -10 Reorder the terms: 5(4 + b) = 2(b + 6) + -10 (4 * 5 + b * 5) = 2(b + 6) + -10 (20 + 5b) = 2(b + 6) + -10 Reorder the terms: 20 + 5b = 2(6 + b) + -10 20 + 5b = (6 * 2 + b * 2) + -10 20 + 5b = (12 + 2b) + -10 Reorder the terms: 20 + 5b = 12 + -10 + 2b Combine like terms: 12 + -10 = 2 20 + 5b = 2 + 2b Solving 20 + 5b = 2 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 20 + 5b + -2b = 2 + 2b + -2b Combine like terms: 5b + -2b = 3b 20 + 3b = 2 + 2b + -2b Combine like terms: 2b + -2b = 0 20 + 3b = 2 + 0 20 + 3b = 2 Add '-20' to each side of the equation. 20 + -20 + 3b = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 3b = 2 + -20 3b = 2 + -20 Combine like terms: 2 + -20 = -18 3b = -18 Divide each side by '3'. b = -6 Simplifying b = -6
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