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Simplifying -10w + 6 = -7w + -9 Reorder the terms: 6 + -10w = -7w + -9 Reorder the terms: 6 + -10w = -9 + -7w Solving 6 + -10w = -9 + -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. 6 + -10w + 7w = -9 + -7w + 7w Combine like terms: -10w + 7w = -3w 6 + -3w = -9 + -7w + 7w Combine like terms: -7w + 7w = 0 6 + -3w = -9 + 0 6 + -3w = -9 Add '-6' to each side of the equation. 6 + -6 + -3w = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -3w = -9 + -6 -3w = -9 + -6 Combine like terms: -9 + -6 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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