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Simplifying 5(5a + -5) + -1[3(4a + -2) + 1] = 0 Reorder the terms: 5(-5 + 5a) + -1[3(4a + -2) + 1] = 0 (-5 * 5 + 5a * 5) + -1[3(4a + -2) + 1] = 0 (-25 + 25a) + -1[3(4a + -2) + 1] = 0 Reorder the terms: -25 + 25a + -1[3(-2 + 4a) + 1] = 0 -25 + 25a + -1[(-2 * 3 + 4a * 3) + 1] = 0 -25 + 25a + -1[(-6 + 12a) + 1] = 0 Reorder the terms: -25 + 25a + -1[-6 + 1 + 12a] = 0 Combine like terms: -6 + 1 = -5 -25 + 25a + -1[-5 + 12a] = 0 -25 + 25a + [-5 * -1 + 12a * -1] = 0 -25 + 25a + [5 + -12a] = 0 Reorder the terms: -25 + 5 + 25a + -12a = 0 Combine like terms: -25 + 5 = -20 -20 + 25a + -12a = 0 Combine like terms: 25a + -12a = 13a -20 + 13a = 0 Solving -20 + 13a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 13a = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 13a = 0 + 20 13a = 0 + 20 Combine like terms: 0 + 20 = 20 13a = 20 Divide each side by '13'. a = 1.538461538 Simplifying a = 1.538461538
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