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Simplifying 7 + -1(w + -4) + 2(w + -3) = 6w + -5 Reorder the terms: 7 + -1(-4 + w) + 2(w + -3) = 6w + -5 7 + (-4 * -1 + w * -1) + 2(w + -3) = 6w + -5 7 + (4 + -1w) + 2(w + -3) = 6w + -5 Reorder the terms: 7 + 4 + -1w + 2(-3 + w) = 6w + -5 7 + 4 + -1w + (-3 * 2 + w * 2) = 6w + -5 7 + 4 + -1w + (-6 + 2w) = 6w + -5 Reorder the terms: 7 + 4 + -6 + -1w + 2w = 6w + -5 Combine like terms: 7 + 4 = 11 11 + -6 + -1w + 2w = 6w + -5 Combine like terms: 11 + -6 = 5 5 + -1w + 2w = 6w + -5 Combine like terms: -1w + 2w = 1w 5 + 1w = 6w + -5 Reorder the terms: 5 + 1w = -5 + 6w Solving 5 + 1w = -5 + 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. 5 + 1w + -6w = -5 + 6w + -6w Combine like terms: 1w + -6w = -5w 5 + -5w = -5 + 6w + -6w Combine like terms: 6w + -6w = 0 5 + -5w = -5 + 0 5 + -5w = -5 Add '-5' to each side of the equation. 5 + -5 + -5w = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -5w = -5 + -5 -5w = -5 + -5 Combine like terms: -5 + -5 = -10 -5w = -10 Divide each side by '-5'. w = 2 Simplifying w = 2
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