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Simplifying 5(a + 2) + -3(2a + -4) = 0 Reorder the terms: 5(2 + a) + -3(2a + -4) = 0 (2 * 5 + a * 5) + -3(2a + -4) = 0 (10 + 5a) + -3(2a + -4) = 0 Reorder the terms: 10 + 5a + -3(-4 + 2a) = 0 10 + 5a + (-4 * -3 + 2a * -3) = 0 10 + 5a + (12 + -6a) = 0 Reorder the terms: 10 + 12 + 5a + -6a = 0 Combine like terms: 10 + 12 = 22 22 + 5a + -6a = 0 Combine like terms: 5a + -6a = -1a 22 + -1a = 0 Solving 22 + -1a = 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 + -1a = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1a = 0 + -22 -1a = 0 + -22 Combine like terms: 0 + -22 = -22 -1a = -22 Divide each side by '-1'. a = 22 Simplifying a = 22
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