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Simplifying 2(w + -1) + -2 = -4(-6w + 3) + -4w Reorder the terms: 2(-1 + w) + -2 = -4(-6w + 3) + -4w (-1 * 2 + w * 2) + -2 = -4(-6w + 3) + -4w (-2 + 2w) + -2 = -4(-6w + 3) + -4w Reorder the terms: -2 + -2 + 2w = -4(-6w + 3) + -4w Combine like terms: -2 + -2 = -4 -4 + 2w = -4(-6w + 3) + -4w Reorder the terms: -4 + 2w = -4(3 + -6w) + -4w -4 + 2w = (3 * -4 + -6w * -4) + -4w -4 + 2w = (-12 + 24w) + -4w Combine like terms: 24w + -4w = 20w -4 + 2w = -12 + 20w Solving -4 + 2w = -12 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. -4 + 2w + -20w = -12 + 20w + -20w Combine like terms: 2w + -20w = -18w -4 + -18w = -12 + 20w + -20w Combine like terms: 20w + -20w = 0 -4 + -18w = -12 + 0 -4 + -18w = -12 Add '4' to each side of the equation. -4 + 4 + -18w = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -18w = -12 + 4 -18w = -12 + 4 Combine like terms: -12 + 4 = -8 -18w = -8 Divide each side by '-18'. w = 0.4444444444 Simplifying w = 0.4444444444
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