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Simplifying -52 = 8(8 + -7b) + 4(1 + 8b) -52 = (8 * 8 + -7b * 8) + 4(1 + 8b) -52 = (64 + -56b) + 4(1 + 8b) -52 = 64 + -56b + (1 * 4 + 8b * 4) -52 = 64 + -56b + (4 + 32b) Reorder the terms: -52 = 64 + 4 + -56b + 32b Combine like terms: 64 + 4 = 68 -52 = 68 + -56b + 32b Combine like terms: -56b + 32b = -24b -52 = 68 + -24b Solving -52 = 68 + -24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24b' to each side of the equation. -52 + 24b = 68 + -24b + 24b Combine like terms: -24b + 24b = 0 -52 + 24b = 68 + 0 -52 + 24b = 68 Add '52' to each side of the equation. -52 + 52 + 24b = 68 + 52 Combine like terms: -52 + 52 = 0 0 + 24b = 68 + 52 24b = 68 + 52 Combine like terms: 68 + 52 = 120 24b = 120 Divide each side by '24'. b = 5 Simplifying b = 5
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