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Simplifying 6(w + -4) = 8w + -36 Reorder the terms: 6(-4 + w) = 8w + -36 (-4 * 6 + w * 6) = 8w + -36 (-24 + 6w) = 8w + -36 Reorder the terms: -24 + 6w = -36 + 8w Solving -24 + 6w = -36 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -24 + 6w + -8w = -36 + 8w + -8w Combine like terms: 6w + -8w = -2w -24 + -2w = -36 + 8w + -8w Combine like terms: 8w + -8w = 0 -24 + -2w = -36 + 0 -24 + -2w = -36 Add '24' to each side of the equation. -24 + 24 + -2w = -36 + 24 Combine like terms: -24 + 24 = 0 0 + -2w = -36 + 24 -2w = -36 + 24 Combine like terms: -36 + 24 = -12 -2w = -12 Divide each side by '-2'. w = 6 Simplifying w = 6
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