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Simplifying -8b + -8(1 + -1b) = -8b + -3(b + -1) -8b + (1 * -8 + -1b * -8) = -8b + -3(b + -1) -8b + (-8 + 8b) = -8b + -3(b + -1) Reorder the terms: -8 + -8b + 8b = -8b + -3(b + -1) Combine like terms: -8b + 8b = 0 -8 + 0 = -8b + -3(b + -1) -8 = -8b + -3(b + -1) Reorder the terms: -8 = -8b + -3(-1 + b) -8 = -8b + (-1 * -3 + b * -3) -8 = -8b + (3 + -3b) Reorder the terms: -8 = 3 + -8b + -3b Combine like terms: -8b + -3b = -11b -8 = 3 + -11b Solving -8 = 3 + -11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11b' to each side of the equation. -8 + 11b = 3 + -11b + 11b Combine like terms: -11b + 11b = 0 -8 + 11b = 3 + 0 -8 + 11b = 3 Add '8' to each side of the equation. -8 + 8 + 11b = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 11b = 3 + 8 11b = 3 + 8 Combine like terms: 3 + 8 = 11 11b = 11 Divide each side by '11'. b = 1 Simplifying b = 1
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