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Simplifying w2 + -3w + -7 = w2 + -1w + 6w + -6 Reorder the terms: -7 + -3w + w2 = w2 + -1w + 6w + -6 Reorder the terms: -7 + -3w + w2 = -6 + -1w + 6w + w2 Combine like terms: -1w + 6w = 5w -7 + -3w + w2 = -6 + 5w + w2 Add '-1w2' to each side of the equation. -7 + -3w + w2 + -1w2 = -6 + 5w + w2 + -1w2 Combine like terms: w2 + -1w2 = 0 -7 + -3w + 0 = -6 + 5w + w2 + -1w2 -7 + -3w = -6 + 5w + w2 + -1w2 Combine like terms: w2 + -1w2 = 0 -7 + -3w = -6 + 5w + 0 -7 + -3w = -6 + 5w Solving -7 + -3w = -6 + 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. -7 + -3w + -5w = -6 + 5w + -5w Combine like terms: -3w + -5w = -8w -7 + -8w = -6 + 5w + -5w Combine like terms: 5w + -5w = 0 -7 + -8w = -6 + 0 -7 + -8w = -6 Add '7' to each side of the equation. -7 + 7 + -8w = -6 + 7 Combine like terms: -7 + 7 = 0 0 + -8w = -6 + 7 -8w = -6 + 7 Combine like terms: -6 + 7 = 1 -8w = 1 Divide each side by '-8'. w = -0.125 Simplifying w = -0.125
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