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Simplifying 6(w + 2) + -1(-2w + -3) = 7w Reorder the terms: 6(2 + w) + -1(-2w + -3) = 7w (2 * 6 + w * 6) + -1(-2w + -3) = 7w (12 + 6w) + -1(-2w + -3) = 7w Reorder the terms: 12 + 6w + -1(-3 + -2w) = 7w 12 + 6w + (-3 * -1 + -2w * -1) = 7w 12 + 6w + (3 + 2w) = 7w Reorder the terms: 12 + 3 + 6w + 2w = 7w Combine like terms: 12 + 3 = 15 15 + 6w + 2w = 7w Combine like terms: 6w + 2w = 8w 15 + 8w = 7w Solving 15 + 8w = 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. 15 + 8w + -7w = 7w + -7w Combine like terms: 8w + -7w = 1w 15 + 1w = 7w + -7w Combine like terms: 7w + -7w = 0 15 + 1w = 0 Add '-15' to each side of the equation. 15 + -15 + 1w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 1w = 0 + -15 1w = 0 + -15 Combine like terms: 0 + -15 = -15 1w = -15 Divide each side by '1'. w = -15 Simplifying w = -15
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