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Simplifying 3w + 30 = 6w + 16 Reorder the terms: 30 + 3w = 6w + 16 Reorder the terms: 30 + 3w = 16 + 6w Solving 30 + 3w = 16 + 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. 30 + 3w + -6w = 16 + 6w + -6w Combine like terms: 3w + -6w = -3w 30 + -3w = 16 + 6w + -6w Combine like terms: 6w + -6w = 0 30 + -3w = 16 + 0 30 + -3w = 16 Add '-30' to each side of the equation. 30 + -30 + -3w = 16 + -30 Combine like terms: 30 + -30 = 0 0 + -3w = 16 + -30 -3w = 16 + -30 Combine like terms: 16 + -30 = -14 -3w = -14 Divide each side by '-3'. w = 4.666666667 Simplifying w = 4.666666667
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