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Simplifying 2(2w + -6) = 6(6w + -6) + 14 Reorder the terms: 2(-6 + 2w) = 6(6w + -6) + 14 (-6 * 2 + 2w * 2) = 6(6w + -6) + 14 (-12 + 4w) = 6(6w + -6) + 14 Reorder the terms: -12 + 4w = 6(-6 + 6w) + 14 -12 + 4w = (-6 * 6 + 6w * 6) + 14 -12 + 4w = (-36 + 36w) + 14 Reorder the terms: -12 + 4w = -36 + 14 + 36w Combine like terms: -36 + 14 = -22 -12 + 4w = -22 + 36w Solving -12 + 4w = -22 + 36w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-36w' to each side of the equation. -12 + 4w + -36w = -22 + 36w + -36w Combine like terms: 4w + -36w = -32w -12 + -32w = -22 + 36w + -36w Combine like terms: 36w + -36w = 0 -12 + -32w = -22 + 0 -12 + -32w = -22 Add '12' to each side of the equation. -12 + 12 + -32w = -22 + 12 Combine like terms: -12 + 12 = 0 0 + -32w = -22 + 12 -32w = -22 + 12 Combine like terms: -22 + 12 = -10 -32w = -10 Divide each side by '-32'. w = 0.3125 Simplifying w = 0.3125
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