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Simplifying 2(a + -5) + -1(4a + 4) = 5(4a + 2) + -2 Reorder the terms: 2(-5 + a) + -1(4a + 4) = 5(4a + 2) + -2 (-5 * 2 + a * 2) + -1(4a + 4) = 5(4a + 2) + -2 (-10 + 2a) + -1(4a + 4) = 5(4a + 2) + -2 Reorder the terms: -10 + 2a + -1(4 + 4a) = 5(4a + 2) + -2 -10 + 2a + (4 * -1 + 4a * -1) = 5(4a + 2) + -2 -10 + 2a + (-4 + -4a) = 5(4a + 2) + -2 Reorder the terms: -10 + -4 + 2a + -4a = 5(4a + 2) + -2 Combine like terms: -10 + -4 = -14 -14 + 2a + -4a = 5(4a + 2) + -2 Combine like terms: 2a + -4a = -2a -14 + -2a = 5(4a + 2) + -2 Reorder the terms: -14 + -2a = 5(2 + 4a) + -2 -14 + -2a = (2 * 5 + 4a * 5) + -2 -14 + -2a = (10 + 20a) + -2 Reorder the terms: -14 + -2a = 10 + -2 + 20a Combine like terms: 10 + -2 = 8 -14 + -2a = 8 + 20a Solving -14 + -2a = 8 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -14 + -2a + -20a = 8 + 20a + -20a Combine like terms: -2a + -20a = -22a -14 + -22a = 8 + 20a + -20a Combine like terms: 20a + -20a = 0 -14 + -22a = 8 + 0 -14 + -22a = 8 Add '14' to each side of the equation. -14 + 14 + -22a = 8 + 14 Combine like terms: -14 + 14 = 0 0 + -22a = 8 + 14 -22a = 8 + 14 Combine like terms: 8 + 14 = 22 -22a = 22 Divide each side by '-22'. a = -1 Simplifying a = -1
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