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Simplifying 7(b + 8) + -3b = -2b + 14 Reorder the terms: 7(8 + b) + -3b = -2b + 14 (8 * 7 + b * 7) + -3b = -2b + 14 (56 + 7b) + -3b = -2b + 14 Combine like terms: 7b + -3b = 4b 56 + 4b = -2b + 14 Reorder the terms: 56 + 4b = 14 + -2b Solving 56 + 4b = 14 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 56 + 4b + 2b = 14 + -2b + 2b Combine like terms: 4b + 2b = 6b 56 + 6b = 14 + -2b + 2b Combine like terms: -2b + 2b = 0 56 + 6b = 14 + 0 56 + 6b = 14 Add '-56' to each side of the equation. 56 + -56 + 6b = 14 + -56 Combine like terms: 56 + -56 = 0 0 + 6b = 14 + -56 6b = 14 + -56 Combine like terms: 14 + -56 = -42 6b = -42 Divide each side by '6'. b = -7 Simplifying b = -7
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