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Simplifying (3a + 5c) + -1(6a + -8) = 0 Remove parenthesis around (3a + 5c) 3a + 5c + -1(6a + -8) = 0 Reorder the terms: 3a + 5c + -1(-8 + 6a) = 0 3a + 5c + (-8 * -1 + 6a * -1) = 0 3a + 5c + (8 + -6a) = 0 Reorder the terms: 8 + 3a + -6a + 5c = 0 Combine like terms: 3a + -6a = -3a 8 + -3a + 5c = 0 Solving 8 + -3a + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -3a + -8 + 5c = 0 + -8 Reorder the terms: 8 + -8 + -3a + 5c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3a + 5c = 0 + -8 -3a + 5c = 0 + -8 Combine like terms: 0 + -8 = -8 -3a + 5c = -8 Add '-5c' to each side of the equation. -3a + 5c + -5c = -8 + -5c Combine like terms: 5c + -5c = 0 -3a + 0 = -8 + -5c -3a = -8 + -5c Divide each side by '-3'. a = 2.666666667 + 1.666666667c Simplifying a = 2.666666667 + 1.666666667c
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