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Simplifying 10(4a + 6) + -1(8a + -4) + (-2a + 6) = 0 Reorder the terms: 10(6 + 4a) + -1(8a + -4) + (-2a + 6) = 0 (6 * 10 + 4a * 10) + -1(8a + -4) + (-2a + 6) = 0 (60 + 40a) + -1(8a + -4) + (-2a + 6) = 0 Reorder the terms: 60 + 40a + -1(-4 + 8a) + (-2a + 6) = 0 60 + 40a + (-4 * -1 + 8a * -1) + (-2a + 6) = 0 60 + 40a + (4 + -8a) + (-2a + 6) = 0 Reorder the terms: 60 + 40a + 4 + -8a + (6 + -2a) = 0 Remove parenthesis around (6 + -2a) 60 + 40a + 4 + -8a + 6 + -2a = 0 Reorder the terms: 60 + 4 + 6 + 40a + -8a + -2a = 0 Combine like terms: 60 + 4 = 64 64 + 6 + 40a + -8a + -2a = 0 Combine like terms: 64 + 6 = 70 70 + 40a + -8a + -2a = 0 Combine like terms: 40a + -8a = 32a 70 + 32a + -2a = 0 Combine like terms: 32a + -2a = 30a 70 + 30a = 0 Solving 70 + 30a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 30a = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 30a = 0 + -70 30a = 0 + -70 Combine like terms: 0 + -70 = -70 30a = -70 Divide each side by '30'. a = -2.333333333 Simplifying a = -2.333333333
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