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Simplifying 18 = 7(b + -1) + 4(1 + -7b) Reorder the terms: 18 = 7(-1 + b) + 4(1 + -7b) 18 = (-1 * 7 + b * 7) + 4(1 + -7b) 18 = (-7 + 7b) + 4(1 + -7b) 18 = -7 + 7b + (1 * 4 + -7b * 4) 18 = -7 + 7b + (4 + -28b) Reorder the terms: 18 = -7 + 4 + 7b + -28b Combine like terms: -7 + 4 = -3 18 = -3 + 7b + -28b Combine like terms: 7b + -28b = -21b 18 = -3 + -21b Solving 18 = -3 + -21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21b' to each side of the equation. 18 + 21b = -3 + -21b + 21b Combine like terms: -21b + 21b = 0 18 + 21b = -3 + 0 18 + 21b = -3 Add '-18' to each side of the equation. 18 + -18 + 21b = -3 + -18 Combine like terms: 18 + -18 = 0 0 + 21b = -3 + -18 21b = -3 + -18 Combine like terms: -3 + -18 = -21 21b = -21 Divide each side by '21'. b = -1 Simplifying b = -1
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