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Simplifying -38 = 3(w + -8) + 4w Reorder the terms: -38 = 3(-8 + w) + 4w -38 = (-8 * 3 + w * 3) + 4w -38 = (-24 + 3w) + 4w Combine like terms: 3w + 4w = 7w -38 = -24 + 7w Solving -38 = -24 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -38 + -7w = -24 + 7w + -7w Combine like terms: 7w + -7w = 0 -38 + -7w = -24 + 0 -38 + -7w = -24 Add '38' to each side of the equation. -38 + 38 + -7w = -24 + 38 Combine like terms: -38 + 38 = 0 0 + -7w = -24 + 38 -7w = -24 + 38 Combine like terms: -24 + 38 = 14 -7w = 14 Divide each side by '-7'. w = -2 Simplifying w = -2
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