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Simplifying -7(2b + -4) = 5(-1b + 6) Reorder the terms: -7(-4 + 2b) = 5(-1b + 6) (-4 * -7 + 2b * -7) = 5(-1b + 6) (28 + -14b) = 5(-1b + 6) Reorder the terms: 28 + -14b = 5(6 + -1b) 28 + -14b = (6 * 5 + -1b * 5) 28 + -14b = (30 + -5b) Solving 28 + -14b = 30 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 28 + -14b + 5b = 30 + -5b + 5b Combine like terms: -14b + 5b = -9b 28 + -9b = 30 + -5b + 5b Combine like terms: -5b + 5b = 0 28 + -9b = 30 + 0 28 + -9b = 30 Add '-28' to each side of the equation. 28 + -28 + -9b = 30 + -28 Combine like terms: 28 + -28 = 0 0 + -9b = 30 + -28 -9b = 30 + -28 Combine like terms: 30 + -28 = 2 -9b = 2 Divide each side by '-9'. b = -0.2222222222 Simplifying b = -0.2222222222
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