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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 = 58 24b = 58 Divide each side by '24'. b = 2.416666667 Simplifying b = 2.416666667
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