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Simplifying 10[2 + -1(5a + 3) + -4a] + 3 + -1(2a + 1) = 0 Reorder the terms: 10[2 + -1(3 + 5a) + -4a] + 3 + -1(2a + 1) = 0 10[2 + (3 * -1 + 5a * -1) + -4a] + 3 + -1(2a + 1) = 0 10[2 + (-3 + -5a) + -4a] + 3 + -1(2a + 1) = 0 Combine like terms: 2 + -3 = -1 10[-1 + -5a + -4a] + 3 + -1(2a + 1) = 0 Combine like terms: -5a + -4a = -9a 10[-1 + -9a] + 3 + -1(2a + 1) = 0 [-1 * 10 + -9a * 10] + 3 + -1(2a + 1) = 0 [-10 + -90a] + 3 + -1(2a + 1) = 0 Reorder the terms: -10 + -90a + 3 + -1(1 + 2a) = 0 -10 + -90a + 3 + (1 * -1 + 2a * -1) = 0 -10 + -90a + 3 + (-1 + -2a) = 0 Reorder the terms: -10 + 3 + -1 + -90a + -2a = 0 Combine like terms: -10 + 3 = -7 -7 + -1 + -90a + -2a = 0 Combine like terms: -7 + -1 = -8 -8 + -90a + -2a = 0 Combine like terms: -90a + -2a = -92a -8 + -92a = 0 Solving -8 + -92a = 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 + 8 + -92a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -92a = 0 + 8 -92a = 0 + 8 Combine like terms: 0 + 8 = 8 -92a = 8 Divide each side by '-92'. a = -0.08695652174 Simplifying a = -0.08695652174
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