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Simplifying (a + -3) = 3(5 + a) Reorder the terms: (-3 + a) = 3(5 + a) Remove parenthesis around (-3 + a) -3 + a = 3(5 + a) -3 + a = (5 * 3 + a * 3) -3 + a = (15 + 3a) Solving -3 + a = 15 + 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. -3 + a + -3a = 15 + 3a + -3a Combine like terms: a + -3a = -2a -3 + -2a = 15 + 3a + -3a Combine like terms: 3a + -3a = 0 -3 + -2a = 15 + 0 -3 + -2a = 15 Add '3' to each side of the equation. -3 + 3 + -2a = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -2a = 15 + 3 -2a = 15 + 3 Combine like terms: 15 + 3 = 18 -2a = 18 Divide each side by '-2'. a = -9 Simplifying a = -9
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