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Simplifying 2(w + -4) = 2w + 4 + -2(-4w + -1) Reorder the terms: 2(-4 + w) = 2w + 4 + -2(-4w + -1) (-4 * 2 + w * 2) = 2w + 4 + -2(-4w + -1) (-8 + 2w) = 2w + 4 + -2(-4w + -1) Reorder the terms: -8 + 2w = 2w + 4 + -2(-1 + -4w) -8 + 2w = 2w + 4 + (-1 * -2 + -4w * -2) -8 + 2w = 2w + 4 + (2 + 8w) Reorder the terms: -8 + 2w = 4 + 2 + 2w + 8w Combine like terms: 4 + 2 = 6 -8 + 2w = 6 + 2w + 8w Combine like terms: 2w + 8w = 10w -8 + 2w = 6 + 10w Solving -8 + 2w = 6 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -8 + 2w + -10w = 6 + 10w + -10w Combine like terms: 2w + -10w = -8w -8 + -8w = 6 + 10w + -10w Combine like terms: 10w + -10w = 0 -8 + -8w = 6 + 0 -8 + -8w = 6 Add '8' to each side of the equation. -8 + 8 + -8w = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -8w = 6 + 8 -8w = 6 + 8 Combine like terms: 6 + 8 = 14 -8w = 14 Divide each side by '-8'. w = -1.75 Simplifying w = -1.75
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