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Simplifying 5(a + -4) + -15 = 3(a + 8) + 4 Reorder the terms: 5(-4 + a) + -15 = 3(a + 8) + 4 (-4 * 5 + a * 5) + -15 = 3(a + 8) + 4 (-20 + 5a) + -15 = 3(a + 8) + 4 Reorder the terms: -20 + -15 + 5a = 3(a + 8) + 4 Combine like terms: -20 + -15 = -35 -35 + 5a = 3(a + 8) + 4 Reorder the terms: -35 + 5a = 3(8 + a) + 4 -35 + 5a = (8 * 3 + a * 3) + 4 -35 + 5a = (24 + 3a) + 4 Reorder the terms: -35 + 5a = 24 + 4 + 3a Combine like terms: 24 + 4 = 28 -35 + 5a = 28 + 3a Solving -35 + 5a = 28 + 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. -35 + 5a + -3a = 28 + 3a + -3a Combine like terms: 5a + -3a = 2a -35 + 2a = 28 + 3a + -3a Combine like terms: 3a + -3a = 0 -35 + 2a = 28 + 0 -35 + 2a = 28 Add '35' to each side of the equation. -35 + 35 + 2a = 28 + 35 Combine like terms: -35 + 35 = 0 0 + 2a = 28 + 35 2a = 28 + 35 Combine like terms: 28 + 35 = 63 2a = 63 Divide each side by '2'. a = 31.5 Simplifying a = 31.5
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