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Simplifying 3w + 14 = 2(6w + -14) Reorder the terms: 14 + 3w = 2(6w + -14) Reorder the terms: 14 + 3w = 2(-14 + 6w) 14 + 3w = (-14 * 2 + 6w * 2) 14 + 3w = (-28 + 12w) Solving 14 + 3w = -28 + 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. 14 + 3w + -12w = -28 + 12w + -12w Combine like terms: 3w + -12w = -9w 14 + -9w = -28 + 12w + -12w Combine like terms: 12w + -12w = 0 14 + -9w = -28 + 0 14 + -9w = -28 Add '-14' to each side of the equation. 14 + -14 + -9w = -28 + -14 Combine like terms: 14 + -14 = 0 0 + -9w = -28 + -14 -9w = -28 + -14 Combine like terms: -28 + -14 = -42 -9w = -42 Divide each side by '-9'. w = 4.666666667 Simplifying w = 4.666666667
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