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Simplifying -2(-6w + 8) + -6w = 2(w + -1) + -8 Reorder the terms: -2(8 + -6w) + -6w = 2(w + -1) + -8 (8 * -2 + -6w * -2) + -6w = 2(w + -1) + -8 (-16 + 12w) + -6w = 2(w + -1) + -8 Combine like terms: 12w + -6w = 6w -16 + 6w = 2(w + -1) + -8 Reorder the terms: -16 + 6w = 2(-1 + w) + -8 -16 + 6w = (-1 * 2 + w * 2) + -8 -16 + 6w = (-2 + 2w) + -8 Reorder the terms: -16 + 6w = -2 + -8 + 2w Combine like terms: -2 + -8 = -10 -16 + 6w = -10 + 2w Solving -16 + 6w = -10 + 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. -16 + 6w + -2w = -10 + 2w + -2w Combine like terms: 6w + -2w = 4w -16 + 4w = -10 + 2w + -2w Combine like terms: 2w + -2w = 0 -16 + 4w = -10 + 0 -16 + 4w = -10 Add '16' to each side of the equation. -16 + 16 + 4w = -10 + 16 Combine like terms: -16 + 16 = 0 0 + 4w = -10 + 16 4w = -10 + 16 Combine like terms: -10 + 16 = 6 4w = 6 Divide each side by '4'. w = 1.5 Simplifying w = 1.5
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