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Simplifying 2[w + -1(2w + 10) + 6] = 2w + 4 Reorder the terms: 2[w + -1(10 + 2w) + 6] = 2w + 4 2[w + (10 * -1 + 2w * -1) + 6] = 2w + 4 2[w + (-10 + -2w) + 6] = 2w + 4 Reorder the terms: 2[-10 + 6 + w + -2w] = 2w + 4 Combine like terms: -10 + 6 = -4 2[-4 + w + -2w] = 2w + 4 Combine like terms: w + -2w = -1w 2[-4 + -1w] = 2w + 4 [-4 * 2 + -1w * 2] = 2w + 4 [-8 + -2w] = 2w + 4 Reorder the terms: -8 + -2w = 4 + 2w Solving -8 + -2w = 4 + 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. -8 + -2w + -2w = 4 + 2w + -2w Combine like terms: -2w + -2w = -4w -8 + -4w = 4 + 2w + -2w Combine like terms: 2w + -2w = 0 -8 + -4w = 4 + 0 -8 + -4w = 4 Add '8' to each side of the equation. -8 + 8 + -4w = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -4w = 4 + 8 -4w = 4 + 8 Combine like terms: 4 + 8 = 12 -4w = 12 Divide each side by '-4'. w = -3 Simplifying w = -3
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