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