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Simplifying 4(w + -6) = 6w + -28 Reorder the terms: 4(-6 + w) = 6w + -28 (-6 * 4 + w * 4) = 6w + -28 (-24 + 4w) = 6w + -28 Reorder the terms: -24 + 4w = -28 + 6w Solving -24 + 4w = -28 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -24 + 4w + -6w = -28 + 6w + -6w Combine like terms: 4w + -6w = -2w -24 + -2w = -28 + 6w + -6w Combine like terms: 6w + -6w = 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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