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Simplifying 5a + -1(-2a + 3) = -1[2a + -1(-1a + 3)] Reorder the terms: 5a + -1(3 + -2a) = -1[2a + -1(-1a + 3)] 5a + (3 * -1 + -2a * -1) = -1[2a + -1(-1a + 3)] 5a + (-3 + 2a) = -1[2a + -1(-1a + 3)] Reorder the terms: -3 + 5a + 2a = -1[2a + -1(-1a + 3)] Combine like terms: 5a + 2a = 7a -3 + 7a = -1[2a + -1(-1a + 3)] Reorder the terms: -3 + 7a = -1[2a + -1(3 + -1a)] -3 + 7a = -1[2a + (3 * -1 + -1a * -1)] -3 + 7a = -1[2a + (-3 + 1a)] Reorder the terms: -3 + 7a = -1[-3 + 2a + 1a] Combine like terms: 2a + 1a = 3a -3 + 7a = -1[-3 + 3a] -3 + 7a = [-3 * -1 + 3a * -1] -3 + 7a = [3 + -3a] Solving -3 + 7a = 3 + -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. -3 + 7a + 3a = 3 + -3a + 3a Combine like terms: 7a + 3a = 10a -3 + 10a = 3 + -3a + 3a Combine like terms: -3a + 3a = 0 -3 + 10a = 3 + 0 -3 + 10a = 3 Add '3' to each side of the equation. -3 + 3 + 10a = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 10a = 3 + 3 10a = 3 + 3 Combine like terms: 3 + 3 = 6 10a = 6 Divide each side by '10'. a = 0.6 Simplifying a = 0.6
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