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Simplifying 6(w + -2) + 6 = 4w + -14 Reorder the terms: 6(-2 + w) + 6 = 4w + -14 (-2 * 6 + w * 6) + 6 = 4w + -14 (-12 + 6w) + 6 = 4w + -14 Reorder the terms: -12 + 6 + 6w = 4w + -14 Combine like terms: -12 + 6 = -6 -6 + 6w = 4w + -14 Reorder the terms: -6 + 6w = -14 + 4w Solving -6 + 6w = -14 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -6 + 6w + -4w = -14 + 4w + -4w Combine like terms: 6w + -4w = 2w -6 + 2w = -14 + 4w + -4w Combine like terms: 4w + -4w = 0 -6 + 2w = -14 + 0 -6 + 2w = -14 Add '6' to each side of the equation. -6 + 6 + 2w = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 2w = -14 + 6 2w = -14 + 6 Combine like terms: -14 + 6 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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