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Simplifying 4 + -2w = 3(w + -7) Reorder the terms: 4 + -2w = 3(-7 + w) 4 + -2w = (-7 * 3 + w * 3) 4 + -2w = (-21 + 3w) Solving 4 + -2w = -21 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 4 + -2w + -3w = -21 + 3w + -3w Combine like terms: -2w + -3w = -5w 4 + -5w = -21 + 3w + -3w Combine like terms: 3w + -3w = 0 4 + -5w = -21 + 0 4 + -5w = -21 Add '-4' to each side of the equation. 4 + -4 + -5w = -21 + -4 Combine like terms: 4 + -4 = 0 0 + -5w = -21 + -4 -5w = -21 + -4 Combine like terms: -21 + -4 = -25 -5w = -25 Divide each side by '-5'. w = 5 Simplifying w = 5
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