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Simplifying w + 14 * 4 = 4w + 6 * 3 Multiply 14 * 4 w + 56 = 4w + 6 * 3 Reorder the terms: 56 + w = 4w + 6 * 3 Multiply 6 * 3 56 + w = 4w + 18 Reorder the terms: 56 + w = 18 + 4w Solving 56 + w = 18 + 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. 56 + w + -4w = 18 + 4w + -4w Combine like terms: w + -4w = -3w 56 + -3w = 18 + 4w + -4w Combine like terms: 4w + -4w = 0 56 + -3w = 18 + 0 56 + -3w = 18 Add '-56' to each side of the equation. 56 + -56 + -3w = 18 + -56 Combine like terms: 56 + -56 = 0 0 + -3w = 18 + -56 -3w = 18 + -56 Combine like terms: 18 + -56 = -38 -3w = -38 Divide each side by '-3'. w = 12.66666667 Simplifying w = 12.66666667
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