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Simplifying a + a(-3) = (a + 5) + -1(a + 2) Reorder the terms for easier multiplication: a + -3a = (a + 5) + -1(a + 2) Combine like terms: a + -3a = -2a -2a = (a + 5) + -1(a + 2) Reorder the terms: -2a = (5 + a) + -1(a + 2) Remove parenthesis around (5 + a) -2a = 5 + a + -1(a + 2) Reorder the terms: -2a = 5 + a + -1(2 + a) -2a = 5 + a + (2 * -1 + a * -1) -2a = 5 + a + (-2 + -1a) Reorder the terms: -2a = 5 + -2 + a + -1a Combine like terms: 5 + -2 = 3 -2a = 3 + a + -1a Combine like terms: a + -1a = 0 -2a = 3 + 0 -2a = 3 Solving -2a = 3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '-2'. a = -1.5 Simplifying a = -1.5
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