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Simplifying -10 + w + 4 + -5 = 7w + -5 Reorder the terms: -10 + 4 + -5 + w = 7w + -5 Combine like terms: -10 + 4 = -6 -6 + -5 + w = 7w + -5 Combine like terms: -6 + -5 = -11 -11 + w = 7w + -5 Reorder the terms: -11 + w = -5 + 7w Solving -11 + w = -5 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -11 + w + -7w = -5 + 7w + -7w Combine like terms: w + -7w = -6w -11 + -6w = -5 + 7w + -7w Combine like terms: 7w + -7w = 0 -11 + -6w = -5 + 0 -11 + -6w = -5 Add '11' to each side of the equation. -11 + 11 + -6w = -5 + 11 Combine like terms: -11 + 11 = 0 0 + -6w = -5 + 11 -6w = -5 + 11 Combine like terms: -5 + 11 = 6 -6w = 6 Divide each side by '-6'. w = -1 Simplifying w = -1
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