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Simplifying 5(a + -3) + -1(8 + 3a) = 7a + -23 Reorder the terms: 5(-3 + a) + -1(8 + 3a) = 7a + -23 (-3 * 5 + a * 5) + -1(8 + 3a) = 7a + -23 (-15 + 5a) + -1(8 + 3a) = 7a + -23 -15 + 5a + (8 * -1 + 3a * -1) = 7a + -23 -15 + 5a + (-8 + -3a) = 7a + -23 Reorder the terms: -15 + -8 + 5a + -3a = 7a + -23 Combine like terms: -15 + -8 = -23 -23 + 5a + -3a = 7a + -23 Combine like terms: 5a + -3a = 2a -23 + 2a = 7a + -23 Reorder the terms: -23 + 2a = -23 + 7a Add '23' to each side of the equation. -23 + 23 + 2a = -23 + 23 + 7a Combine like terms: -23 + 23 = 0 0 + 2a = -23 + 23 + 7a 2a = -23 + 23 + 7a Combine like terms: -23 + 23 = 0 2a = 0 + 7a 2a = 7a Solving 2a = 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 2a + -7a = 7a + -7a Combine like terms: 2a + -7a = -5a -5a = 7a + -7a Combine like terms: 7a + -7a = 0 -5a = 0 Divide each side by '-5'. a = 0 Simplifying a = 0
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