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Simplifying 4 + -2a = -8a + 5(1 + a) 4 + -2a = -8a + (1 * 5 + a * 5) 4 + -2a = -8a + (5 + 5a) Reorder the terms: 4 + -2a = 5 + -8a + 5a Combine like terms: -8a + 5a = -3a 4 + -2a = 5 + -3a Solving 4 + -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. 4 + -2a + 3a = 5 + -3a + 3a Combine like terms: -2a + 3a = 1a 4 + 1a = 5 + -3a + 3a Combine like terms: -3a + 3a = 0 4 + 1a = 5 + 0 4 + 1a = 5 Add '-4' to each side of the equation. 4 + -4 + 1a = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1a = 5 + -4 1a = 5 + -4 Combine like terms: 5 + -4 = 1 1a = 1 Divide each side by '1'. a = 1 Simplifying a = 1
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