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Simplifying 7(5b + -4) = 15 + -8b Reorder the terms: 7(-4 + 5b) = 15 + -8b (-4 * 7 + 5b * 7) = 15 + -8b (-28 + 35b) = 15 + -8b Solving -28 + 35b = 15 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -28 + 35b + 8b = 15 + -8b + 8b Combine like terms: 35b + 8b = 43b -28 + 43b = 15 + -8b + 8b Combine like terms: -8b + 8b = 0 -28 + 43b = 15 + 0 -28 + 43b = 15 Add '28' to each side of the equation. -28 + 28 + 43b = 15 + 28 Combine like terms: -28 + 28 = 0 0 + 43b = 15 + 28 43b = 15 + 28 Combine like terms: 15 + 28 = 43 43b = 43 Divide each side by '43'. b = 1 Simplifying b = 1
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