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Simplifying 2(b + -8) = 4(b + 1) + -14 Reorder the terms: 2(-8 + b) = 4(b + 1) + -14 (-8 * 2 + b * 2) = 4(b + 1) + -14 (-16 + 2b) = 4(b + 1) + -14 Reorder the terms: -16 + 2b = 4(1 + b) + -14 -16 + 2b = (1 * 4 + b * 4) + -14 -16 + 2b = (4 + 4b) + -14 Reorder the terms: -16 + 2b = 4 + -14 + 4b Combine like terms: 4 + -14 = -10 -16 + 2b = -10 + 4b Solving -16 + 2b = -10 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -16 + 2b + -4b = -10 + 4b + -4b Combine like terms: 2b + -4b = -2b -16 + -2b = -10 + 4b + -4b Combine like terms: 4b + -4b = 0 -16 + -2b = -10 + 0 -16 + -2b = -10 Add '16' to each side of the equation. -16 + 16 + -2b = -10 + 16 Combine like terms: -16 + 16 = 0 0 + -2b = -10 + 16 -2b = -10 + 16 Combine like terms: -10 + 16 = 6 -2b = 6 Divide each side by '-2'. b = -3 Simplifying b = -3
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