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Simplifying 3 + 5w = 4(3w + 4) + -20 Reorder the terms: 3 + 5w = 4(4 + 3w) + -20 3 + 5w = (4 * 4 + 3w * 4) + -20 3 + 5w = (16 + 12w) + -20 Reorder the terms: 3 + 5w = 16 + -20 + 12w Combine like terms: 16 + -20 = -4 3 + 5w = -4 + 12w Solving 3 + 5w = -4 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 3 + 5w + -12w = -4 + 12w + -12w Combine like terms: 5w + -12w = -7w 3 + -7w = -4 + 12w + -12w Combine like terms: 12w + -12w = 0 3 + -7w = -4 + 0 3 + -7w = -4 Add '-3' to each side of the equation. 3 + -3 + -7w = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -7w = -4 + -3 -7w = -4 + -3 Combine like terms: -4 + -3 = -7 -7w = -7 Divide each side by '-7'. w = 1 Simplifying w = 1
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