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Simplifying -13 = 3(a + 1) + -5(a + 4) Reorder the terms: -13 = 3(1 + a) + -5(a + 4) -13 = (1 * 3 + a * 3) + -5(a + 4) -13 = (3 + 3a) + -5(a + 4) Reorder the terms: -13 = 3 + 3a + -5(4 + a) -13 = 3 + 3a + (4 * -5 + a * -5) -13 = 3 + 3a + (-20 + -5a) Reorder the terms: -13 = 3 + -20 + 3a + -5a Combine like terms: 3 + -20 = -17 -13 = -17 + 3a + -5a Combine like terms: 3a + -5a = -2a -13 = -17 + -2a Solving -13 = -17 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -13 + 2a = -17 + -2a + 2a Combine like terms: -2a + 2a = 0 -13 + 2a = -17 + 0 -13 + 2a = -17 Add '13' to each side of the equation. -13 + 13 + 2a = -17 + 13 Combine like terms: -13 + 13 = 0 0 + 2a = -17 + 13 2a = -17 + 13 Combine like terms: -17 + 13 = -4 2a = -4 Divide each side by '2'. a = -2 Simplifying a = -2
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