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Simplifying -29 = 6(-4b + -4) + -5(1 + 8b) Reorder the terms: -29 = 6(-4 + -4b) + -5(1 + 8b) -29 = (-4 * 6 + -4b * 6) + -5(1 + 8b) -29 = (-24 + -24b) + -5(1 + 8b) -29 = -24 + -24b + (1 * -5 + 8b * -5) -29 = -24 + -24b + (-5 + -40b) Reorder the terms: -29 = -24 + -5 + -24b + -40b Combine like terms: -24 + -5 = -29 -29 = -29 + -24b + -40b Combine like terms: -24b + -40b = -64b -29 = -29 + -64b Add '29' to each side of the equation. -29 + 29 = -29 + 29 + -64b Combine like terms: -29 + 29 = 0 0 = -29 + 29 + -64b Combine like terms: -29 + 29 = 0 0 = 0 + -64b 0 = -64b Solving 0 = -64b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '64b' to each side of the equation. 0 + 64b = -64b + 64b Remove the zero: 64b = -64b + 64b Combine like terms: -64b + 64b = 0 64b = 0 Divide each side by '64'. b = 0 Simplifying b = 0
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