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