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Simplifying 7(w + -7) = 6(w + -3) Reorder the terms: 7(-7 + w) = 6(w + -3) (-7 * 7 + w * 7) = 6(w + -3) (-49 + 7w) = 6(w + -3) Reorder the terms: -49 + 7w = 6(-3 + w) -49 + 7w = (-3 * 6 + w * 6) -49 + 7w = (-18 + 6w) Solving -49 + 7w = -18 + 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. -49 + 7w + -6w = -18 + 6w + -6w Combine like terms: 7w + -6w = 1w -49 + 1w = -18 + 6w + -6w Combine like terms: 6w + -6w = 0 -49 + 1w = -18 + 0 -49 + 1w = -18 Add '49' to each side of the equation. -49 + 49 + 1w = -18 + 49 Combine like terms: -49 + 49 = 0 0 + 1w = -18 + 49 1w = -18 + 49 Combine like terms: -18 + 49 = 31 1w = 31 Divide each side by '1'. w = 31 Simplifying w = 31
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