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Simplifying 13 + -1(4w + 1) = 2(2w + -8) Reorder the terms: 13 + -1(1 + 4w) = 2(2w + -8) 13 + (1 * -1 + 4w * -1) = 2(2w + -8) 13 + (-1 + -4w) = 2(2w + -8) Combine like terms: 13 + -1 = 12 12 + -4w = 2(2w + -8) Reorder the terms: 12 + -4w = 2(-8 + 2w) 12 + -4w = (-8 * 2 + 2w * 2) 12 + -4w = (-16 + 4w) Solving 12 + -4w = -16 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 12 + -4w + -4w = -16 + 4w + -4w Combine like terms: -4w + -4w = -8w 12 + -8w = -16 + 4w + -4w Combine like terms: 4w + -4w = 0 12 + -8w = -16 + 0 12 + -8w = -16 Add '-12' to each side of the equation. 12 + -12 + -8w = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -8w = -16 + -12 -8w = -16 + -12 Combine like terms: -16 + -12 = -28 -8w = -28 Divide each side by '-8'. w = 3.5 Simplifying w = 3.5
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