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Simplifying 5a + 3(a + -7) + 8a = 15 Reorder the terms: 5a + 3(-7 + a) + 8a = 15 5a + (-7 * 3 + a * 3) + 8a = 15 5a + (-21 + 3a) + 8a = 15 Reorder the terms: -21 + 5a + 3a + 8a = 15 Combine like terms: 5a + 3a = 8a -21 + 8a + 8a = 15 Combine like terms: 8a + 8a = 16a -21 + 16a = 15 Solving -21 + 16a = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 16a = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 16a = 15 + 21 16a = 15 + 21 Combine like terms: 15 + 21 = 36 16a = 36 Divide each side by '16'. a = 2.25 Simplifying a = 2.25
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