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Simplifying 10(2b + 4) = 8(b + -7) Reorder the terms: 10(4 + 2b) = 8(b + -7) (4 * 10 + 2b * 10) = 8(b + -7) (40 + 20b) = 8(b + -7) Reorder the terms: 40 + 20b = 8(-7 + b) 40 + 20b = (-7 * 8 + b * 8) 40 + 20b = (-56 + 8b) Solving 40 + 20b = -56 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 40 + 20b + -8b = -56 + 8b + -8b Combine like terms: 20b + -8b = 12b 40 + 12b = -56 + 8b + -8b Combine like terms: 8b + -8b = 0 40 + 12b = -56 + 0 40 + 12b = -56 Add '-40' to each side of the equation. 40 + -40 + 12b = -56 + -40 Combine like terms: 40 + -40 = 0 0 + 12b = -56 + -40 12b = -56 + -40 Combine like terms: -56 + -40 = -96 12b = -96 Divide each side by '12'. b = -8 Simplifying b = -8
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