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Simplifying 2(6 + 8b) = -4(6b + 7) (6 * 2 + 8b * 2) = -4(6b + 7) (12 + 16b) = -4(6b + 7) Reorder the terms: 12 + 16b = -4(7 + 6b) 12 + 16b = (7 * -4 + 6b * -4) 12 + 16b = (-28 + -24b) Solving 12 + 16b = -28 + -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. 12 + 16b + 24b = -28 + -24b + 24b Combine like terms: 16b + 24b = 40b 12 + 40b = -28 + -24b + 24b Combine like terms: -24b + 24b = 0 12 + 40b = -28 + 0 12 + 40b = -28 Add '-12' to each side of the equation. 12 + -12 + 40b = -28 + -12 Combine like terms: 12 + -12 = 0 0 + 40b = -28 + -12 40b = -28 + -12 Combine like terms: -28 + -12 = -40 40b = -40 Divide each side by '40'. b = -1 Simplifying b = -1
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