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Simplifying 3(a + -5) = a + 3 Reorder the terms: 3(-5 + a) = a + 3 (-5 * 3 + a * 3) = a + 3 (-15 + 3a) = a + 3 Reorder the terms: -15 + 3a = 3 + a Solving -15 + 3a = 3 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -15 + 3a + -1a = 3 + a + -1a Combine like terms: 3a + -1a = 2a -15 + 2a = 3 + a + -1a Combine like terms: a + -1a = 0 -15 + 2a = 3 + 0 -15 + 2a = 3 Add '15' to each side of the equation. -15 + 15 + 2a = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 2a = 3 + 15 2a = 3 + 15 Combine like terms: 3 + 15 = 18 2a = 18 Divide each side by '2'. a = 9 Simplifying a = 9
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