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Simplifying -24 = 4(w + -7) + -2w Reorder the terms: -24 = 4(-7 + w) + -2w -24 = (-7 * 4 + w * 4) + -2w -24 = (-28 + 4w) + -2w Combine like terms: 4w + -2w = 2w -24 = -28 + 2w Solving -24 = -28 + 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. -24 + -2w = -28 + 2w + -2w Combine like terms: 2w + -2w = 0 -24 + -2w = -28 + 0 -24 + -2w = -28 Add '24' to each side of the equation. -24 + 24 + -2w = -28 + 24 Combine like terms: -24 + 24 = 0 0 + -2w = -28 + 24 -2w = -28 + 24 Combine like terms: -28 + 24 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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