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Simplifying 2(b + -2) = 5(b + 6) + -10 Reorder the terms: 2(-2 + b) = 5(b + 6) + -10 (-2 * 2 + b * 2) = 5(b + 6) + -10 (-4 + 2b) = 5(b + 6) + -10 Reorder the terms: -4 + 2b = 5(6 + b) + -10 -4 + 2b = (6 * 5 + b * 5) + -10 -4 + 2b = (30 + 5b) + -10 Reorder the terms: -4 + 2b = 30 + -10 + 5b Combine like terms: 30 + -10 = 20 -4 + 2b = 20 + 5b Solving -4 + 2b = 20 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -4 + 2b + -5b = 20 + 5b + -5b Combine like terms: 2b + -5b = -3b -4 + -3b = 20 + 5b + -5b Combine like terms: 5b + -5b = 0 -4 + -3b = 20 + 0 -4 + -3b = 20 Add '4' to each side of the equation. -4 + 4 + -3b = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -3b = 20 + 4 -3b = 20 + 4 Combine like terms: 20 + 4 = 24 -3b = 24 Divide each side by '-3'. b = -8 Simplifying b = -8
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