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Simplifying 18 = -1(5b + -4) + -2(3b + 4) Reorder the terms: 18 = -1(-4 + 5b) + -2(3b + 4) 18 = (-4 * -1 + 5b * -1) + -2(3b + 4) 18 = (4 + -5b) + -2(3b + 4) Reorder the terms: 18 = 4 + -5b + -2(4 + 3b) 18 = 4 + -5b + (4 * -2 + 3b * -2) 18 = 4 + -5b + (-8 + -6b) Reorder the terms: 18 = 4 + -8 + -5b + -6b Combine like terms: 4 + -8 = -4 18 = -4 + -5b + -6b Combine like terms: -5b + -6b = -11b 18 = -4 + -11b Solving 18 = -4 + -11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11b' to each side of the equation. 18 + 11b = -4 + -11b + 11b Combine like terms: -11b + 11b = 0 18 + 11b = -4 + 0 18 + 11b = -4 Add '-18' to each side of the equation. 18 + -18 + 11b = -4 + -18 Combine like terms: 18 + -18 = 0 0 + 11b = -4 + -18 11b = -4 + -18 Combine like terms: -4 + -18 = -22 11b = -22 Divide each side by '11'. b = -2 Simplifying b = -2
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