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Simplifying 5(a + 1) + -2(3 + -1a) = a + -3 Reorder the terms: 5(1 + a) + -2(3 + -1a) = a + -3 (1 * 5 + a * 5) + -2(3 + -1a) = a + -3 (5 + 5a) + -2(3 + -1a) = a + -3 5 + 5a + (3 * -2 + -1a * -2) = a + -3 5 + 5a + (-6 + 2a) = a + -3 Reorder the terms: 5 + -6 + 5a + 2a = a + -3 Combine like terms: 5 + -6 = -1 -1 + 5a + 2a = a + -3 Combine like terms: 5a + 2a = 7a -1 + 7a = a + -3 Reorder the terms: -1 + 7a = -3 + a Solving -1 + 7a = -3 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -1 + 7a + -1a = -3 + a + -1a Combine like terms: 7a + -1a = 6a -1 + 6a = -3 + a + -1a Combine like terms: a + -1a = 0 -1 + 6a = -3 + 0 -1 + 6a = -3 Add '1' to each side of the equation. -1 + 1 + 6a = -3 + 1 Combine like terms: -1 + 1 = 0 0 + 6a = -3 + 1 6a = -3 + 1 Combine like terms: -3 + 1 = -2 6a = -2 Divide each side by '6'. a = -0.3333333333 Simplifying a = -0.3333333333
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