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