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Simplifying -7b + 8(5b + -1) = -40 + b Reorder the terms: -7b + 8(-1 + 5b) = -40 + b -7b + (-1 * 8 + 5b * 8) = -40 + b -7b + (-8 + 40b) = -40 + b Reorder the terms: -8 + -7b + 40b = -40 + b Combine like terms: -7b + 40b = 33b -8 + 33b = -40 + b Solving -8 + 33b = -40 + 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. -8 + 33b + -1b = -40 + b + -1b Combine like terms: 33b + -1b = 32b -8 + 32b = -40 + b + -1b Combine like terms: b + -1b = 0 -8 + 32b = -40 + 0 -8 + 32b = -40 Add '8' to each side of the equation. -8 + 8 + 32b = -40 + 8 Combine like terms: -8 + 8 = 0 0 + 32b = -40 + 8 32b = -40 + 8 Combine like terms: -40 + 8 = -32 32b = -32 Divide each side by '32'. b = -1 Simplifying b = -1
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