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Simplifying 310 = 2w + 2(2w + -7) Reorder the terms: 310 = 2w + 2(-7 + 2w) 310 = 2w + (-7 * 2 + 2w * 2) 310 = 2w + (-14 + 4w) Reorder the terms: 310 = -14 + 2w + 4w Combine like terms: 2w + 4w = 6w 310 = -14 + 6w Solving 310 = -14 + 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. 310 + -6w = -14 + 6w + -6w Combine like terms: 6w + -6w = 0 310 + -6w = -14 + 0 310 + -6w = -14 Add '-310' to each side of the equation. 310 + -310 + -6w = -14 + -310 Combine like terms: 310 + -310 = 0 0 + -6w = -14 + -310 -6w = -14 + -310 Combine like terms: -14 + -310 = -324 -6w = -324 Divide each side by '-6'. w = 54 Simplifying w = 54
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