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Simplifying -7(-4b + -8) = 14 + 7b Reorder the terms: -7(-8 + -4b) = 14 + 7b (-8 * -7 + -4b * -7) = 14 + 7b (56 + 28b) = 14 + 7b Solving 56 + 28b = 14 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 56 + 28b + -7b = 14 + 7b + -7b Combine like terms: 28b + -7b = 21b 56 + 21b = 14 + 7b + -7b Combine like terms: 7b + -7b = 0 56 + 21b = 14 + 0 56 + 21b = 14 Add '-56' to each side of the equation. 56 + -56 + 21b = 14 + -56 Combine like terms: 56 + -56 = 0 0 + 21b = 14 + -56 21b = 14 + -56 Combine like terms: 14 + -56 = -42 21b = -42 Divide each side by '21'. b = -2 Simplifying b = -2
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