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Simplifying 6w + 3 + -10 = 7w + -8 Reorder the terms: 3 + -10 + 6w = 7w + -8 Combine like terms: 3 + -10 = -7 -7 + 6w = 7w + -8 Reorder the terms: -7 + 6w = -8 + 7w Solving -7 + 6w = -8 + 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. -7 + 6w + -7w = -8 + 7w + -7w Combine like terms: 6w + -7w = -1w -7 + -1w = -8 + 7w + -7w Combine like terms: 7w + -7w = 0 -7 + -1w = -8 + 0 -7 + -1w = -8 Add '7' to each side of the equation. -7 + 7 + -1w = -8 + 7 Combine like terms: -7 + 7 = 0 0 + -1w = -8 + 7 -1w = -8 + 7 Combine like terms: -8 + 7 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1
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