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Simplifying -7(2b + -4) = 5(2b + 6) Reorder the terms: -7(-4 + 2b) = 5(2b + 6) (-4 * -7 + 2b * -7) = 5(2b + 6) (28 + -14b) = 5(2b + 6) Reorder the terms: 28 + -14b = 5(6 + 2b) 28 + -14b = (6 * 5 + 2b * 5) 28 + -14b = (30 + 10b) Solving 28 + -14b = 30 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 28 + -14b + -10b = 30 + 10b + -10b Combine like terms: -14b + -10b = -24b 28 + -24b = 30 + 10b + -10b Combine like terms: 10b + -10b = 0 28 + -24b = 30 + 0 28 + -24b = 30 Add '-28' to each side of the equation. 28 + -28 + -24b = 30 + -28 Combine like terms: 28 + -28 = 0 0 + -24b = 30 + -28 -24b = 30 + -28 Combine like terms: 30 + -28 = 2 -24b = 2 Divide each side by '-24'. b = -0.08333333333 Simplifying b = -0.08333333333
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