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Simplifying 5a + 3(2a + -4) + -2(-1a + 5) = 0 Reorder the terms: 5a + 3(-4 + 2a) + -2(-1a + 5) = 0 5a + (-4 * 3 + 2a * 3) + -2(-1a + 5) = 0 5a + (-12 + 6a) + -2(-1a + 5) = 0 Reorder the terms: 5a + -12 + 6a + -2(5 + -1a) = 0 5a + -12 + 6a + (5 * -2 + -1a * -2) = 0 5a + -12 + 6a + (-10 + 2a) = 0 Reorder the terms: -12 + -10 + 5a + 6a + 2a = 0 Combine like terms: -12 + -10 = -22 -22 + 5a + 6a + 2a = 0 Combine like terms: 5a + 6a = 11a -22 + 11a + 2a = 0 Combine like terms: 11a + 2a = 13a -22 + 13a = 0 Solving -22 + 13a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 13a = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 13a = 0 + 22 13a = 0 + 22 Combine like terms: 0 + 22 = 22 13a = 22 Divide each side by '13'. a = 1.692307692 Simplifying a = 1.692307692
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