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Simplifying -5a + -8 + 10a = -3(a + 8) Reorder the terms: -8 + -5a + 10a = -3(a + 8) Combine like terms: -5a + 10a = 5a -8 + 5a = -3(a + 8) Reorder the terms: -8 + 5a = -3(8 + a) -8 + 5a = (8 * -3 + a * -3) -8 + 5a = (-24 + -3a) Solving -8 + 5a = -24 + -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. -8 + 5a + 3a = -24 + -3a + 3a Combine like terms: 5a + 3a = 8a -8 + 8a = -24 + -3a + 3a Combine like terms: -3a + 3a = 0 -8 + 8a = -24 + 0 -8 + 8a = -24 Add '8' to each side of the equation. -8 + 8 + 8a = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 8a = -24 + 8 8a = -24 + 8 Combine like terms: -24 + 8 = -16 8a = -16 Divide each side by '8'. a = -2 Simplifying a = -2
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