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Simplifying -6(w + 2) = -2(6w + -1) + 2w Reorder the terms: -6(2 + w) = -2(6w + -1) + 2w (2 * -6 + w * -6) = -2(6w + -1) + 2w (-12 + -6w) = -2(6w + -1) + 2w Reorder the terms: -12 + -6w = -2(-1 + 6w) + 2w -12 + -6w = (-1 * -2 + 6w * -2) + 2w -12 + -6w = (2 + -12w) + 2w Combine like terms: -12w + 2w = -10w -12 + -6w = 2 + -10w Solving -12 + -6w = 2 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. -12 + -6w + 10w = 2 + -10w + 10w Combine like terms: -6w + 10w = 4w -12 + 4w = 2 + -10w + 10w Combine like terms: -10w + 10w = 0 -12 + 4w = 2 + 0 -12 + 4w = 2 Add '12' to each side of the equation. -12 + 12 + 4w = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 4w = 2 + 12 4w = 2 + 12 Combine like terms: 2 + 12 = 14 4w = 14 Divide each side by '4'. w = 3.5 Simplifying w = 3.5
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