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Simplifying 8(2b + 7) = 4(b + 10) Reorder the terms: 8(7 + 2b) = 4(b + 10) (7 * 8 + 2b * 8) = 4(b + 10) (56 + 16b) = 4(b + 10) Reorder the terms: 56 + 16b = 4(10 + b) 56 + 16b = (10 * 4 + b * 4) 56 + 16b = (40 + 4b) Solving 56 + 16b = 40 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 56 + 16b + -4b = 40 + 4b + -4b Combine like terms: 16b + -4b = 12b 56 + 12b = 40 + 4b + -4b Combine like terms: 4b + -4b = 0 56 + 12b = 40 + 0 56 + 12b = 40 Add '-56' to each side of the equation. 56 + -56 + 12b = 40 + -56 Combine like terms: 56 + -56 = 0 0 + 12b = 40 + -56 12b = 40 + -56 Combine like terms: 40 + -56 = -16 12b = -16 Divide each side by '12'. b = -1.333333333 Simplifying b = -1.333333333
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