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Simplifying 2(w + -3) = 6w + -38 Reorder the terms: 2(-3 + w) = 6w + -38 (-3 * 2 + w * 2) = 6w + -38 (-6 + 2w) = 6w + -38 Reorder the terms: -6 + 2w = -38 + 6w Solving -6 + 2w = -38 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -6 + 2w + -6w = -38 + 6w + -6w Combine like terms: 2w + -6w = -4w -6 + -4w = -38 + 6w + -6w Combine like terms: 6w + -6w = 0 -6 + -4w = -38 + 0 -6 + -4w = -38 Add '6' to each side of the equation. -6 + 6 + -4w = -38 + 6 Combine like terms: -6 + 6 = 0 0 + -4w = -38 + 6 -4w = -38 + 6 Combine like terms: -38 + 6 = -32 -4w = -32 Divide each side by '-4'. w = 8 Simplifying w = 8
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