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Simplifying 1 + -3(2w + -4) = -4(6 + -1w) + -8 Reorder the terms: 1 + -3(-4 + 2w) = -4(6 + -1w) + -8 1 + (-4 * -3 + 2w * -3) = -4(6 + -1w) + -8 1 + (12 + -6w) = -4(6 + -1w) + -8 Combine like terms: 1 + 12 = 13 13 + -6w = -4(6 + -1w) + -8 13 + -6w = (6 * -4 + -1w * -4) + -8 13 + -6w = (-24 + 4w) + -8 Reorder the terms: 13 + -6w = -24 + -8 + 4w Combine like terms: -24 + -8 = -32 13 + -6w = -32 + 4w Solving 13 + -6w = -32 + 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. 13 + -6w + -4w = -32 + 4w + -4w Combine like terms: -6w + -4w = -10w 13 + -10w = -32 + 4w + -4w Combine like terms: 4w + -4w = 0 13 + -10w = -32 + 0 13 + -10w = -32 Add '-13' to each side of the equation. 13 + -13 + -10w = -32 + -13 Combine like terms: 13 + -13 = 0 0 + -10w = -32 + -13 -10w = -32 + -13 Combine like terms: -32 + -13 = -45 -10w = -45 Divide each side by '-10'. w = 4.5 Simplifying w = 4.5
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