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Simplifying -5 = -3(2a + -5) + -8 Reorder the terms: -5 = -3(-5 + 2a) + -8 -5 = (-5 * -3 + 2a * -3) + -8 -5 = (15 + -6a) + -8 Reorder the terms: -5 = 15 + -8 + -6a Combine like terms: 15 + -8 = 7 -5 = 7 + -6a Solving -5 = 7 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -5 + 6a = 7 + -6a + 6a Combine like terms: -6a + 6a = 0 -5 + 6a = 7 + 0 -5 + 6a = 7 Add '5' to each side of the equation. -5 + 5 + 6a = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 6a = 7 + 5 6a = 7 + 5 Combine like terms: 7 + 5 = 12 6a = 12 Divide each side by '6'. a = 2 Simplifying a = 2
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