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Simplifying w + -4(w + 2) = 7 + -2w Reorder the terms: w + -4(2 + w) = 7 + -2w w + (2 * -4 + w * -4) = 7 + -2w w + (-8 + -4w) = 7 + -2w Reorder the terms: -8 + w + -4w = 7 + -2w Combine like terms: w + -4w = -3w -8 + -3w = 7 + -2w Solving -8 + -3w = 7 + -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. -8 + -3w + 2w = 7 + -2w + 2w Combine like terms: -3w + 2w = -1w -8 + -1w = 7 + -2w + 2w Combine like terms: -2w + 2w = 0 -8 + -1w = 7 + 0 -8 + -1w = 7 Add '8' to each side of the equation. -8 + 8 + -1w = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -1w = 7 + 8 -1w = 7 + 8 Combine like terms: 7 + 8 = 15 -1w = 15 Divide each side by '-1'. w = -15 Simplifying w = -15
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