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Simplifying 6(w + -1) = 2w + 4 + -2(-4w + -2) Reorder the terms: 6(-1 + w) = 2w + 4 + -2(-4w + -2) (-1 * 6 + w * 6) = 2w + 4 + -2(-4w + -2) (-6 + 6w) = 2w + 4 + -2(-4w + -2) Reorder the terms: -6 + 6w = 2w + 4 + -2(-2 + -4w) -6 + 6w = 2w + 4 + (-2 * -2 + -4w * -2) -6 + 6w = 2w + 4 + (4 + 8w) Reorder the terms: -6 + 6w = 4 + 4 + 2w + 8w Combine like terms: 4 + 4 = 8 -6 + 6w = 8 + 2w + 8w Combine like terms: 2w + 8w = 10w -6 + 6w = 8 + 10w Solving -6 + 6w = 8 + 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. -6 + 6w + -10w = 8 + 10w + -10w Combine like terms: 6w + -10w = -4w -6 + -4w = 8 + 10w + -10w Combine like terms: 10w + -10w = 0 -6 + -4w = 8 + 0 -6 + -4w = 8 Add '6' to each side of the equation. -6 + 6 + -4w = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -4w = 8 + 6 -4w = 8 + 6 Combine like terms: 8 + 6 = 14 -4w = 14 Divide each side by '-4'. w = -3.5 Simplifying w = -3.5
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