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Simplifying -3a + 5a = -1(4a + 4) + -1(-1a + 1) Combine like terms: -3a + 5a = 2a 2a = -1(4a + 4) + -1(-1a + 1) Reorder the terms: 2a = -1(4 + 4a) + -1(-1a + 1) 2a = (4 * -1 + 4a * -1) + -1(-1a + 1) 2a = (-4 + -4a) + -1(-1a + 1) Reorder the terms: 2a = -4 + -4a + -1(1 + -1a) 2a = -4 + -4a + (1 * -1 + -1a * -1) 2a = -4 + -4a + (-1 + 1a) Reorder the terms: 2a = -4 + -1 + -4a + 1a Combine like terms: -4 + -1 = -5 2a = -5 + -4a + 1a Combine like terms: -4a + 1a = -3a 2a = -5 + -3a Solving 2a = -5 + -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. 2a + 3a = -5 + -3a + 3a Combine like terms: 2a + 3a = 5a 5a = -5 + -3a + 3a Combine like terms: -3a + 3a = 0 5a = -5 + 0 5a = -5 Divide each side by '5'. a = -1 Simplifying a = -1
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