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Simplifying 8(7b + -4) = 23 + b Reorder the terms: 8(-4 + 7b) = 23 + b (-4 * 8 + 7b * 8) = 23 + b (-32 + 56b) = 23 + b Solving -32 + 56b = 23 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -32 + 56b + -1b = 23 + b + -1b Combine like terms: 56b + -1b = 55b -32 + 55b = 23 + b + -1b Combine like terms: b + -1b = 0 -32 + 55b = 23 + 0 -32 + 55b = 23 Add '32' to each side of the equation. -32 + 32 + 55b = 23 + 32 Combine like terms: -32 + 32 = 0 0 + 55b = 23 + 32 55b = 23 + 32 Combine like terms: 23 + 32 = 55 55b = 55 Divide each side by '55'. b = 1 Simplifying b = 1
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