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Simplifying 3w + 19 = 54 + 6w + 14 Reorder the terms: 19 + 3w = 54 + 6w + 14 Reorder the terms: 19 + 3w = 54 + 14 + 6w Combine like terms: 54 + 14 = 68 19 + 3w = 68 + 6w Solving 19 + 3w = 68 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 19 + 3w + -6w = 68 + 6w + -6w Combine like terms: 3w + -6w = -3w 19 + -3w = 68 + 6w + -6w Combine like terms: 6w + -6w = 0 19 + -3w = 68 + 0 19 + -3w = 68 Add '-19' to each side of the equation. 19 + -19 + -3w = 68 + -19 Combine like terms: 19 + -19 = 0 0 + -3w = 68 + -19 -3w = 68 + -19 Combine like terms: 68 + -19 = 49 -3w = 49 Divide each side by '-3'. w = -16.33333333 Simplifying w = -16.33333333
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