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Simplifying -1b + -8(1 + 4b) = 157 -1b + (1 * -8 + 4b * -8) = 157 -1b + (-8 + -32b) = 157 Reorder the terms: -8 + -1b + -32b = 157 Combine like terms: -1b + -32b = -33b -8 + -33b = 157 Solving -8 + -33b = 157 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -33b = 157 + 8 Combine like terms: -8 + 8 = 0 0 + -33b = 157 + 8 -33b = 157 + 8 Combine like terms: 157 + 8 = 165 -33b = 165 Divide each side by '-33'. b = -5 Simplifying b = -5
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