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Simplifying -10 = -2w + 4(w + -6) Reorder the terms: -10 = -2w + 4(-6 + w) -10 = -2w + (-6 * 4 + w * 4) -10 = -2w + (-24 + 4w) Reorder the terms: -10 = -24 + -2w + 4w Combine like terms: -2w + 4w = 2w -10 = -24 + 2w Solving -10 = -24 + 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. -10 + -2w = -24 + 2w + -2w Combine like terms: 2w + -2w = 0 -10 + -2w = -24 + 0 -10 + -2w = -24 Add '10' to each side of the equation. -10 + 10 + -2w = -24 + 10 Combine like terms: -10 + 10 = 0 0 + -2w = -24 + 10 -2w = -24 + 10 Combine like terms: -24 + 10 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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