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Simplifying -8b + -2(4b + 1) = -5b + 3(b + 4) Reorder the terms: -8b + -2(1 + 4b) = -5b + 3(b + 4) -8b + (1 * -2 + 4b * -2) = -5b + 3(b + 4) -8b + (-2 + -8b) = -5b + 3(b + 4) Reorder the terms: -2 + -8b + -8b = -5b + 3(b + 4) Combine like terms: -8b + -8b = -16b -2 + -16b = -5b + 3(b + 4) Reorder the terms: -2 + -16b = -5b + 3(4 + b) -2 + -16b = -5b + (4 * 3 + b * 3) -2 + -16b = -5b + (12 + 3b) Reorder the terms: -2 + -16b = 12 + -5b + 3b Combine like terms: -5b + 3b = -2b -2 + -16b = 12 + -2b Solving -2 + -16b = 12 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -2 + -16b + 2b = 12 + -2b + 2b Combine like terms: -16b + 2b = -14b -2 + -14b = 12 + -2b + 2b Combine like terms: -2b + 2b = 0 -2 + -14b = 12 + 0 -2 + -14b = 12 Add '2' to each side of the equation. -2 + 2 + -14b = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -14b = 12 + 2 -14b = 12 + 2 Combine like terms: 12 + 2 = 14 -14b = 14 Divide each side by '-14'. b = -1 Simplifying b = -1
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