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Simplifying 4(w + 1) + -7w + -7 = -4w Reorder the terms: 4(1 + w) + -7w + -7 = -4w (1 * 4 + w * 4) + -7w + -7 = -4w (4 + 4w) + -7w + -7 = -4w Reorder the terms: 4 + -7 + 4w + -7w = -4w Combine like terms: 4 + -7 = -3 -3 + 4w + -7w = -4w Combine like terms: 4w + -7w = -3w -3 + -3w = -4w Solving -3 + -3w = -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -3 + -3w + 4w = -4w + 4w Combine like terms: -3w + 4w = 1w -3 + 1w = -4w + 4w Combine like terms: -4w + 4w = 0 -3 + 1w = 0 Add '3' to each side of the equation. -3 + 3 + 1w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1w = 0 + 3 1w = 0 + 3 Combine like terms: 0 + 3 = 3 1w = 3 Divide each side by '1'. w = 3 Simplifying w = 3
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