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Simplifying 3w + -1 = 5(w + -3) Reorder the terms: -1 + 3w = 5(w + -3) Reorder the terms: -1 + 3w = 5(-3 + w) -1 + 3w = (-3 * 5 + w * 5) -1 + 3w = (-15 + 5w) Solving -1 + 3w = -15 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -1 + 3w + -5w = -15 + 5w + -5w Combine like terms: 3w + -5w = -2w -1 + -2w = -15 + 5w + -5w Combine like terms: 5w + -5w = 0 -1 + -2w = -15 + 0 -1 + -2w = -15 Add '1' to each side of the equation. -1 + 1 + -2w = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -2w = -15 + 1 -2w = -15 + 1 Combine like terms: -15 + 1 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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