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Simplifying 4(w + -1) + 2(w + -2) = 4 Reorder the terms: 4(-1 + w) + 2(w + -2) = 4 (-1 * 4 + w * 4) + 2(w + -2) = 4 (-4 + 4w) + 2(w + -2) = 4 Reorder the terms: -4 + 4w + 2(-2 + w) = 4 -4 + 4w + (-2 * 2 + w * 2) = 4 -4 + 4w + (-4 + 2w) = 4 Reorder the terms: -4 + -4 + 4w + 2w = 4 Combine like terms: -4 + -4 = -8 -8 + 4w + 2w = 4 Combine like terms: 4w + 2w = 6w -8 + 6w = 4 Solving -8 + 6w = 4 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6w = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 6w = 4 + 8 6w = 4 + 8 Combine like terms: 4 + 8 = 12 6w = 12 Divide each side by '6'. w = 2 Simplifying w = 2
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