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