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Simplifying 3w + 2(2w + -6) + 8 = 3 Reorder the terms: 3w + 2(-6 + 2w) + 8 = 3 3w + (-6 * 2 + 2w * 2) + 8 = 3 3w + (-12 + 4w) + 8 = 3 Reorder the terms: -12 + 8 + 3w + 4w = 3 Combine like terms: -12 + 8 = -4 -4 + 3w + 4w = 3 Combine like terms: 3w + 4w = 7w -4 + 7w = 3 Solving -4 + 7w = 3 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7w = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 7w = 3 + 4 7w = 3 + 4 Combine like terms: 3 + 4 = 7 7w = 7 Divide each side by '7'. w = 1 Simplifying w = 1
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