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Simplifying 2(w + -2) + -4 = -3(-4w + 6) + -4w Reorder the terms: 2(-2 + w) + -4 = -3(-4w + 6) + -4w (-2 * 2 + w * 2) + -4 = -3(-4w + 6) + -4w (-4 + 2w) + -4 = -3(-4w + 6) + -4w Reorder the terms: -4 + -4 + 2w = -3(-4w + 6) + -4w Combine like terms: -4 + -4 = -8 -8 + 2w = -3(-4w + 6) + -4w Reorder the terms: -8 + 2w = -3(6 + -4w) + -4w -8 + 2w = (6 * -3 + -4w * -3) + -4w -8 + 2w = (-18 + 12w) + -4w Combine like terms: 12w + -4w = 8w -8 + 2w = -18 + 8w Solving -8 + 2w = -18 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -8 + 2w + -8w = -18 + 8w + -8w Combine like terms: 2w + -8w = -6w -8 + -6w = -18 + 8w + -8w Combine like terms: 8w + -8w = 0 -8 + -6w = -18 + 0 -8 + -6w = -18 Add '8' to each side of the equation. -8 + 8 + -6w = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -6w = -18 + 8 -6w = -18 + 8 Combine like terms: -18 + 8 = -10 -6w = -10 Divide each side by '-6'. w = 1.666666667 Simplifying w = 1.666666667
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