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Simplifying 2w + -38 = -3(w + -4) Reorder the terms: -38 + 2w = -3(w + -4) Reorder the terms: -38 + 2w = -3(-4 + w) -38 + 2w = (-4 * -3 + w * -3) -38 + 2w = (12 + -3w) Solving -38 + 2w = 12 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -38 + 2w + 3w = 12 + -3w + 3w Combine like terms: 2w + 3w = 5w -38 + 5w = 12 + -3w + 3w Combine like terms: -3w + 3w = 0 -38 + 5w = 12 + 0 -38 + 5w = 12 Add '38' to each side of the equation. -38 + 38 + 5w = 12 + 38 Combine like terms: -38 + 38 = 0 0 + 5w = 12 + 38 5w = 12 + 38 Combine like terms: 12 + 38 = 50 5w = 50 Divide each side by '5'. w = 10 Simplifying w = 10
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