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Simplifying 2(3w + -1) + -7 = 5w Reorder the terms: 2(-1 + 3w) + -7 = 5w (-1 * 2 + 3w * 2) + -7 = 5w (-2 + 6w) + -7 = 5w Reorder the terms: -2 + -7 + 6w = 5w Combine like terms: -2 + -7 = -9 -9 + 6w = 5w Solving -9 + 6w = 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -9 + 6w + -5w = 5w + -5w Combine like terms: 6w + -5w = 1w -9 + 1w = 5w + -5w Combine like terms: 5w + -5w = 0 -9 + 1w = 0 Add '9' to each side of the equation. -9 + 9 + 1w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 1w = 0 + 9 1w = 0 + 9 Combine like terms: 0 + 9 = 9 1w = 9 Divide each side by '1'. w = 9 Simplifying w = 9
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