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Simplifying (3a + 10) + -1(8a + -2) = 0 Reorder the terms: (10 + 3a) + -1(8a + -2) = 0 Remove parenthesis around (10 + 3a) 10 + 3a + -1(8a + -2) = 0 Reorder the terms: 10 + 3a + -1(-2 + 8a) = 0 10 + 3a + (-2 * -1 + 8a * -1) = 0 10 + 3a + (2 + -8a) = 0 Reorder the terms: 10 + 2 + 3a + -8a = 0 Combine like terms: 10 + 2 = 12 12 + 3a + -8a = 0 Combine like terms: 3a + -8a = -5a 12 + -5a = 0 Solving 12 + -5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5a = 0 + -12 -5a = 0 + -12 Combine like terms: 0 + -12 = -12 -5a = -12 Divide each side by '-5'. a = 2.4 Simplifying a = 2.4
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