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Simplifying 4(w + -9) = 6w + -38 Reorder the terms: 4(-9 + w) = 6w + -38 (-9 * 4 + w * 4) = 6w + -38 (-36 + 4w) = 6w + -38 Reorder the terms: -36 + 4w = -38 + 6w Solving -36 + 4w = -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. -36 + 4w + -6w = -38 + 6w + -6w Combine like terms: 4w + -6w = -2w -36 + -2w = -38 + 6w + -6w Combine like terms: 6w + -6w = 0 -36 + -2w = -38 + 0 -36 + -2w = -38 Add '36' to each side of the equation. -36 + 36 + -2w = -38 + 36 Combine like terms: -36 + 36 = 0 0 + -2w = -38 + 36 -2w = -38 + 36 Combine like terms: -38 + 36 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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