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Simplifying 7(8 + -8b) + -4 = 7b + -11 (8 * 7 + -8b * 7) + -4 = 7b + -11 (56 + -56b) + -4 = 7b + -11 Reorder the terms: 56 + -4 + -56b = 7b + -11 Combine like terms: 56 + -4 = 52 52 + -56b = 7b + -11 Reorder the terms: 52 + -56b = -11 + 7b Solving 52 + -56b = -11 + 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. 52 + -56b + -7b = -11 + 7b + -7b Combine like terms: -56b + -7b = -63b 52 + -63b = -11 + 7b + -7b Combine like terms: 7b + -7b = 0 52 + -63b = -11 + 0 52 + -63b = -11 Add '-52' to each side of the equation. 52 + -52 + -63b = -11 + -52 Combine like terms: 52 + -52 = 0 0 + -63b = -11 + -52 -63b = -11 + -52 Combine like terms: -11 + -52 = -63 -63b = -63 Divide each side by '-63'. b = 1 Simplifying b = 1
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