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Simplifying -6(w + 7) = -4w + -28 Reorder the terms: -6(7 + w) = -4w + -28 (7 * -6 + w * -6) = -4w + -28 (-42 + -6w) = -4w + -28 Reorder the terms: -42 + -6w = -28 + -4w Solving -42 + -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. -42 + -6w + 4w = -28 + -4w + 4w Combine like terms: -6w + 4w = -2w -42 + -2w = -28 + -4w + 4w Combine like terms: -4w + 4w = 0 -42 + -2w = -28 + 0 -42 + -2w = -28 Add '42' to each side of the equation. -42 + 42 + -2w = -28 + 42 Combine like terms: -42 + 42 = 0 0 + -2w = -28 + 42 -2w = -28 + 42 Combine like terms: -28 + 42 = 14 -2w = 14 Divide each side by '-2'. w = -7 Simplifying w = -7
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