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Simplifying -4(-2w + 7) + -2w = 2(w + -3) + -8 Reorder the terms: -4(7 + -2w) + -2w = 2(w + -3) + -8 (7 * -4 + -2w * -4) + -2w = 2(w + -3) + -8 (-28 + 8w) + -2w = 2(w + -3) + -8 Combine like terms: 8w + -2w = 6w -28 + 6w = 2(w + -3) + -8 Reorder the terms: -28 + 6w = 2(-3 + w) + -8 -28 + 6w = (-3 * 2 + w * 2) + -8 -28 + 6w = (-6 + 2w) + -8 Reorder the terms: -28 + 6w = -6 + -8 + 2w Combine like terms: -6 + -8 = -14 -28 + 6w = -14 + 2w Solving -28 + 6w = -14 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -28 + 6w + -2w = -14 + 2w + -2w Combine like terms: 6w + -2w = 4w -28 + 4w = -14 + 2w + -2w Combine like terms: 2w + -2w = 0 -28 + 4w = -14 + 0 -28 + 4w = -14 Add '28' to each side of the equation. -28 + 28 + 4w = -14 + 28 Combine like terms: -28 + 28 = 0 0 + 4w = -14 + 28 4w = -14 + 28 Combine like terms: -14 + 28 = 14 4w = 14 Divide each side by '4'. w = 3.5 Simplifying w = 3.5
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