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Simplifying 5w + -7 + w = 4 + 3(w + -1) Reorder the terms: -7 + 5w + w = 4 + 3(w + -1) Combine like terms: 5w + w = 6w -7 + 6w = 4 + 3(w + -1) Reorder the terms: -7 + 6w = 4 + 3(-1 + w) -7 + 6w = 4 + (-1 * 3 + w * 3) -7 + 6w = 4 + (-3 + 3w) Combine like terms: 4 + -3 = 1 -7 + 6w = 1 + 3w Solving -7 + 6w = 1 + 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. -7 + 6w + -3w = 1 + 3w + -3w Combine like terms: 6w + -3w = 3w -7 + 3w = 1 + 3w + -3w Combine like terms: 3w + -3w = 0 -7 + 3w = 1 + 0 -7 + 3w = 1 Add '7' to each side of the equation. -7 + 7 + 3w = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 3w = 1 + 7 3w = 1 + 7 Combine like terms: 1 + 7 = 8 3w = 8 Divide each side by '3'. w = 2.666666667 Simplifying w = 2.666666667
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