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Simplifying 5w + -15 = 6w + -2 Reorder the terms: -15 + 5w = 6w + -2 Reorder the terms: -15 + 5w = -2 + 6w Solving -15 + 5w = -2 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -15 + 5w + -6w = -2 + 6w + -6w Combine like terms: 5w + -6w = -1w -15 + -1w = -2 + 6w + -6w Combine like terms: 6w + -6w = 0 -15 + -1w = -2 + 0 -15 + -1w = -2 Add '15' to each side of the equation. -15 + 15 + -1w = -2 + 15 Combine like terms: -15 + 15 = 0 0 + -1w = -2 + 15 -1w = -2 + 15 Combine like terms: -2 + 15 = 13 -1w = 13 Divide each side by '-1'. w = -13 Simplifying w = -13
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