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