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Simplifying 7(-8b + 4) = -35 + 7b Reorder the terms: 7(4 + -8b) = -35 + 7b (4 * 7 + -8b * 7) = -35 + 7b (28 + -56b) = -35 + 7b Solving 28 + -56b = -35 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 28 + -56b + -7b = -35 + 7b + -7b Combine like terms: -56b + -7b = -63b 28 + -63b = -35 + 7b + -7b Combine like terms: 7b + -7b = 0 28 + -63b = -35 + 0 28 + -63b = -35 Add '-28' to each side of the equation. 28 + -28 + -63b = -35 + -28 Combine like terms: 28 + -28 = 0 0 + -63b = -35 + -28 -63b = -35 + -28 Combine like terms: -35 + -28 = -63 -63b = -63 Divide each side by '-63'. b = 1 Simplifying b = 1
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