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Simplifying 8(2b + 2) = 6(4b + -10) Reorder the terms: 8(2 + 2b) = 6(4b + -10) (2 * 8 + 2b * 8) = 6(4b + -10) (16 + 16b) = 6(4b + -10) Reorder the terms: 16 + 16b = 6(-10 + 4b) 16 + 16b = (-10 * 6 + 4b * 6) 16 + 16b = (-60 + 24b) Solving 16 + 16b = -60 + 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. 16 + 16b + -24b = -60 + 24b + -24b Combine like terms: 16b + -24b = -8b 16 + -8b = -60 + 24b + -24b Combine like terms: 24b + -24b = 0 16 + -8b = -60 + 0 16 + -8b = -60 Add '-16' to each side of the equation. 16 + -16 + -8b = -60 + -16 Combine like terms: 16 + -16 = 0 0 + -8b = -60 + -16 -8b = -60 + -16 Combine like terms: -60 + -16 = -76 -8b = -76 Divide each side by '-8'. b = 9.5 Simplifying b = 9.5
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