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Simplifying 3(w + -5) + -5w = 1 Reorder the terms: 3(-5 + w) + -5w = 1 (-5 * 3 + w * 3) + -5w = 1 (-15 + 3w) + -5w = 1 Combine like terms: 3w + -5w = -2w -15 + -2w = 1 Solving -15 + -2w = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2w = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -2w = 1 + 15 -2w = 1 + 15 Combine like terms: 1 + 15 = 16 -2w = 16 Divide each side by '-2'. w = -8 Simplifying w = -8
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