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Simplifying 116 = 2(31) + 2w Multiply 2 * 31 116 = 62 + 2w Solving 116 = 62 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 116 + -2w = 62 + 2w + -2w Combine like terms: 2w + -2w = 0 116 + -2w = 62 + 0 116 + -2w = 62 Add '-116' to each side of the equation. 116 + -116 + -2w = 62 + -116 Combine like terms: 116 + -116 = 0 0 + -2w = 62 + -116 -2w = 62 + -116 Combine like terms: 62 + -116 = -54 -2w = -54 Divide each side by '-2'. w = 27 Simplifying w = 27
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