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Simplifying -1b + 29 = -4(-8b + 1) Reorder the terms: 29 + -1b = -4(-8b + 1) Reorder the terms: 29 + -1b = -4(1 + -8b) 29 + -1b = (1 * -4 + -8b * -4) 29 + -1b = (-4 + 32b) Solving 29 + -1b = -4 + 32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32b' to each side of the equation. 29 + -1b + -32b = -4 + 32b + -32b Combine like terms: -1b + -32b = -33b 29 + -33b = -4 + 32b + -32b Combine like terms: 32b + -32b = 0 29 + -33b = -4 + 0 29 + -33b = -4 Add '-29' to each side of the equation. 29 + -29 + -33b = -4 + -29 Combine like terms: 29 + -29 = 0 0 + -33b = -4 + -29 -33b = -4 + -29 Combine like terms: -4 + -29 = -33 -33b = -33 Divide each side by '-33'. b = 1 Simplifying b = 1
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