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Simplifying 7w + 3z + -10 = w Reorder the terms: -10 + 7w + 3z = w Solving -10 + 7w + 3z = w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -10 + 7w + -1w + 3z = w + -1w Combine like terms: 7w + -1w = 6w -10 + 6w + 3z = w + -1w Combine like terms: w + -1w = 0 -10 + 6w + 3z = 0 Add '10' to each side of the equation. -10 + 6w + 10 + 3z = 0 + 10 Reorder the terms: -10 + 10 + 6w + 3z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 6w + 3z = 0 + 10 6w + 3z = 0 + 10 Combine like terms: 0 + 10 = 10 6w + 3z = 10 Add '-3z' to each side of the equation. 6w + 3z + -3z = 10 + -3z Combine like terms: 3z + -3z = 0 6w + 0 = 10 + -3z 6w = 10 + -3z Divide each side by '6'. w = 1.666666667 + -0.5z Simplifying w = 1.666666667 + -0.5z
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