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Simplifying 6(w + -1) = (3w + 5) Reorder the terms: 6(-1 + w) = (3w + 5) (-1 * 6 + w * 6) = (3w + 5) (-6 + 6w) = (3w + 5) Reorder the terms: -6 + 6w = (5 + 3w) Remove parenthesis around (5 + 3w) -6 + 6w = 5 + 3w Solving -6 + 6w = 5 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -6 + 6w + -3w = 5 + 3w + -3w Combine like terms: 6w + -3w = 3w -6 + 3w = 5 + 3w + -3w Combine like terms: 3w + -3w = 0 -6 + 3w = 5 + 0 -6 + 3w = 5 Add '6' to each side of the equation. -6 + 6 + 3w = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 3w = 5 + 6 3w = 5 + 6 Combine like terms: 5 + 6 = 11 3w = 11 Divide each side by '3'. w = 3.666666667 Simplifying w = 3.666666667
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