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Simplifying -28 = -4w + 6(w + -2) Reorder the terms: -28 = -4w + 6(-2 + w) -28 = -4w + (-2 * 6 + w * 6) -28 = -4w + (-12 + 6w) Reorder the terms: -28 = -12 + -4w + 6w Combine like terms: -4w + 6w = 2w -28 = -12 + 2w Solving -28 = -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 + -2w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 -28 + -2w = -12 + 0 -28 + -2w = -12 Add '28' to each side of the equation. -28 + 28 + -2w = -12 + 28 Combine like terms: -28 + 28 = 0 0 + -2w = -12 + 28 -2w = -12 + 28 Combine like terms: -12 + 28 = 16 -2w = 16 Divide each side by '-2'. w = -8 Simplifying w = -8
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