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Simplifying 5(a + -3) = 3(a + 7) Reorder the terms: 5(-3 + a) = 3(a + 7) (-3 * 5 + a * 5) = 3(a + 7) (-15 + 5a) = 3(a + 7) Reorder the terms: -15 + 5a = 3(7 + a) -15 + 5a = (7 * 3 + a * 3) -15 + 5a = (21 + 3a) Solving -15 + 5a = 21 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -15 + 5a + -3a = 21 + 3a + -3a Combine like terms: 5a + -3a = 2a -15 + 2a = 21 + 3a + -3a Combine like terms: 3a + -3a = 0 -15 + 2a = 21 + 0 -15 + 2a = 21 Add '15' to each side of the equation. -15 + 15 + 2a = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 2a = 21 + 15 2a = 21 + 15 Combine like terms: 21 + 15 = 36 2a = 36 Divide each side by '2'. a = 18 Simplifying a = 18
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