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