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Simplifying [(5a + -4) + (5a + -2)] + [(-3a + 2) + (-3a + -4)] = 0 Reorder the terms: [(-4 + 5a) + (5a + -2)] + [(-3a + 2) + (-3a + -4)] = 0 Remove parenthesis around (-4 + 5a) [-4 + 5a + (5a + -2)] + [(-3a + 2) + (-3a + -4)] = 0 Reorder the terms: [-4 + 5a + (-2 + 5a)] + [(-3a + 2) + (-3a + -4)] = 0 Remove parenthesis around (-2 + 5a) [-4 + 5a + -2 + 5a] + [(-3a + 2) + (-3a + -4)] = 0 Reorder the terms: [-4 + -2 + 5a + 5a] + [(-3a + 2) + (-3a + -4)] = 0 Combine like terms: -4 + -2 = -6 [-6 + 5a + 5a] + [(-3a + 2) + (-3a + -4)] = 0 Combine like terms: 5a + 5a = 10a [-6 + 10a] + [(-3a + 2) + (-3a + -4)] = 0 Remove brackets around [-6 + 10a] -6 + 10a + [(-3a + 2) + (-3a + -4)] = 0 Reorder the terms: -6 + 10a + [(2 + -3a) + (-3a + -4)] = 0 Remove parenthesis around (2 + -3a) -6 + 10a + [2 + -3a + (-3a + -4)] = 0 Reorder the terms: -6 + 10a + [2 + -3a + (-4 + -3a)] = 0 Remove parenthesis around (-4 + -3a) -6 + 10a + [2 + -3a + -4 + -3a] = 0 Reorder the terms: -6 + 10a + [2 + -4 + -3a + -3a] = 0 Combine like terms: 2 + -4 = -2 -6 + 10a + [-2 + -3a + -3a] = 0 Combine like terms: -3a + -3a = -6a -6 + 10a + [-2 + -6a] = 0 Remove brackets around [-2 + -6a] -6 + 10a + -2 + -6a = 0 Reorder the terms: -6 + -2 + 10a + -6a = 0 Combine like terms: -6 + -2 = -8 -8 + 10a + -6a = 0 Combine like terms: 10a + -6a = 4a -8 + 4a = 0 Solving -8 + 4a = 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 + 4a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4a = 0 + 8 4a = 0 + 8 Combine like terms: 0 + 8 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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