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Simplifying -3a + -8(-2a + 8) = -34 + 8a Reorder the terms: -3a + -8(8 + -2a) = -34 + 8a -3a + (8 * -8 + -2a * -8) = -34 + 8a -3a + (-64 + 16a) = -34 + 8a Reorder the terms: -64 + -3a + 16a = -34 + 8a Combine like terms: -3a + 16a = 13a -64 + 13a = -34 + 8a Solving -64 + 13a = -34 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -64 + 13a + -8a = -34 + 8a + -8a Combine like terms: 13a + -8a = 5a -64 + 5a = -34 + 8a + -8a Combine like terms: 8a + -8a = 0 -64 + 5a = -34 + 0 -64 + 5a = -34 Add '64' to each side of the equation. -64 + 64 + 5a = -34 + 64 Combine like terms: -64 + 64 = 0 0 + 5a = -34 + 64 5a = -34 + 64 Combine like terms: -34 + 64 = 30 5a = 30 Divide each side by '5'. a = 6 Simplifying a = 6
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