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Simplifying 5(w + -2) = 3w + -1a Reorder the terms: 5(-2 + w) = 3w + -1a (-2 * 5 + w * 5) = 3w + -1a (-10 + 5w) = 3w + -1a Reorder the terms: -10 + 5w = -1a + 3w Solving -10 + 5w = -1a + 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. -10 + 5w + -3w = -1a + 3w + -3w Combine like terms: 5w + -3w = 2w -10 + 2w = -1a + 3w + -3w Combine like terms: 3w + -3w = 0 -10 + 2w = -1a + 0 -10 + 2w = -1a Add '10' to each side of the equation. -10 + 10 + 2w = 10 + -1a Combine like terms: -10 + 10 = 0 0 + 2w = 10 + -1a 2w = 10 + -1a Divide each side by '2'. w = 5 + -0.5a Simplifying w = 5 + -0.5a
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