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Simplifying 0.5(8a + 10) + -1(6a + -12) = 0 Reorder the terms: 0.5(10 + 8a) + -1(6a + -12) = 0 (10 * 0.5 + 8a * 0.5) + -1(6a + -12) = 0 (5 + 4a) + -1(6a + -12) = 0 Reorder the terms: 5 + 4a + -1(-12 + 6a) = 0 5 + 4a + (-12 * -1 + 6a * -1) = 0 5 + 4a + (12 + -6a) = 0 Reorder the terms: 5 + 12 + 4a + -6a = 0 Combine like terms: 5 + 12 = 17 17 + 4a + -6a = 0 Combine like terms: 4a + -6a = -2a 17 + -2a = 0 Solving 17 + -2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2a = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2a = 0 + -17 -2a = 0 + -17 Combine like terms: 0 + -17 = -17 -2a = -17 Divide each side by '-2'. a = 8.5 Simplifying a = 8.5
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