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Simplifying 7(w + -3) = 5 + 6w Reorder the terms: 7(-3 + w) = 5 + 6w (-3 * 7 + w * 7) = 5 + 6w (-21 + 7w) = 5 + 6w Solving -21 + 7w = 5 + 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. -21 + 7w + -6w = 5 + 6w + -6w Combine like terms: 7w + -6w = 1w -21 + 1w = 5 + 6w + -6w Combine like terms: 6w + -6w = 0 -21 + 1w = 5 + 0 -21 + 1w = 5 Add '21' to each side of the equation. -21 + 21 + 1w = 5 + 21 Combine like terms: -21 + 21 = 0 0 + 1w = 5 + 21 1w = 5 + 21 Combine like terms: 5 + 21 = 26 1w = 26 Divide each side by '1'. w = 26 Simplifying w = 26
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