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Simplifying 2w + 2(1 + 3x) = 202 2w + (1 * 2 + 3x * 2) = 202 2w + (2 + 6x) = 202 Reorder the terms: 2 + 2w + 6x = 202 Solving 2 + 2w + 6x = 202 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2w + -2 + 6x = 202 + -2 Reorder the terms: 2 + -2 + 2w + 6x = 202 + -2 Combine like terms: 2 + -2 = 0 0 + 2w + 6x = 202 + -2 2w + 6x = 202 + -2 Combine like terms: 202 + -2 = 200 2w + 6x = 200 Add '-6x' to each side of the equation. 2w + 6x + -6x = 200 + -6x Combine like terms: 6x + -6x = 0 2w + 0 = 200 + -6x 2w = 200 + -6x Divide each side by '2'. w = 100 + -3x Simplifying w = 100 + -3x
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