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Simplifying 4(a + 2) + -1(2a + -2) = 2(2a + -1) + 22 Reorder the terms: 4(2 + a) + -1(2a + -2) = 2(2a + -1) + 22 (2 * 4 + a * 4) + -1(2a + -2) = 2(2a + -1) + 22 (8 + 4a) + -1(2a + -2) = 2(2a + -1) + 22 Reorder the terms: 8 + 4a + -1(-2 + 2a) = 2(2a + -1) + 22 8 + 4a + (-2 * -1 + 2a * -1) = 2(2a + -1) + 22 8 + 4a + (2 + -2a) = 2(2a + -1) + 22 Reorder the terms: 8 + 2 + 4a + -2a = 2(2a + -1) + 22 Combine like terms: 8 + 2 = 10 10 + 4a + -2a = 2(2a + -1) + 22 Combine like terms: 4a + -2a = 2a 10 + 2a = 2(2a + -1) + 22 Reorder the terms: 10 + 2a = 2(-1 + 2a) + 22 10 + 2a = (-1 * 2 + 2a * 2) + 22 10 + 2a = (-2 + 4a) + 22 Reorder the terms: 10 + 2a = -2 + 22 + 4a Combine like terms: -2 + 22 = 20 10 + 2a = 20 + 4a Solving 10 + 2a = 20 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 10 + 2a + -4a = 20 + 4a + -4a Combine like terms: 2a + -4a = -2a 10 + -2a = 20 + 4a + -4a Combine like terms: 4a + -4a = 0 10 + -2a = 20 + 0 10 + -2a = 20 Add '-10' to each side of the equation. 10 + -10 + -2a = 20 + -10 Combine like terms: 10 + -10 = 0 0 + -2a = 20 + -10 -2a = 20 + -10 Combine like terms: 20 + -10 = 10 -2a = 10 Divide each side by '-2'. a = -5 Simplifying a = -5
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