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Simplifying 7(w + -4) = 26 + w Reorder the terms: 7(-4 + w) = 26 + w (-4 * 7 + w * 7) = 26 + w (-28 + 7w) = 26 + w Solving -28 + 7w = 26 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -28 + 7w + -1w = 26 + w + -1w Combine like terms: 7w + -1w = 6w -28 + 6w = 26 + w + -1w Combine like terms: w + -1w = 0 -28 + 6w = 26 + 0 -28 + 6w = 26 Add '28' to each side of the equation. -28 + 28 + 6w = 26 + 28 Combine like terms: -28 + 28 = 0 0 + 6w = 26 + 28 6w = 26 + 28 Combine like terms: 26 + 28 = 54 6w = 54 Divide each side by '6'. w = 9 Simplifying w = 9
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