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Simplifying 6w + 28 = 2(w + -6) Reorder the terms: 28 + 6w = 2(w + -6) Reorder the terms: 28 + 6w = 2(-6 + w) 28 + 6w = (-6 * 2 + w * 2) 28 + 6w = (-12 + 2w) Solving 28 + 6w = -12 + 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 = -12 + 2w + -2w Combine like terms: 6w + -2w = 4w 28 + 4w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 28 + 4w = -12 + 0 28 + 4w = -12 Add '-28' to each side of the equation. 28 + -28 + 4w = -12 + -28 Combine like terms: 28 + -28 = 0 0 + 4w = -12 + -28 4w = -12 + -28 Combine like terms: -12 + -28 = -40 4w = -40 Divide each side by '4'. w = -10 Simplifying w = -10
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