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Simplifying -4(6w + -1) = -2(2w + 7) Reorder the terms: -4(-1 + 6w) = -2(2w + 7) (-1 * -4 + 6w * -4) = -2(2w + 7) (4 + -24w) = -2(2w + 7) Reorder the terms: 4 + -24w = -2(7 + 2w) 4 + -24w = (7 * -2 + 2w * -2) 4 + -24w = (-14 + -4w) Solving 4 + -24w = -14 + -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. 4 + -24w + 4w = -14 + -4w + 4w Combine like terms: -24w + 4w = -20w 4 + -20w = -14 + -4w + 4w Combine like terms: -4w + 4w = 0 4 + -20w = -14 + 0 4 + -20w = -14 Add '-4' to each side of the equation. 4 + -4 + -20w = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -20w = -14 + -4 -20w = -14 + -4 Combine like terms: -14 + -4 = -18 -20w = -18 Divide each side by '-20'. w = 0.9 Simplifying w = 0.9
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