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Simplifying (2a + -4) = 2(a + -5) + -3(a + 1) Reorder the terms: (-4 + 2a) = 2(a + -5) + -3(a + 1) Remove parenthesis around (-4 + 2a) -4 + 2a = 2(a + -5) + -3(a + 1) Reorder the terms: -4 + 2a = 2(-5 + a) + -3(a + 1) -4 + 2a = (-5 * 2 + a * 2) + -3(a + 1) -4 + 2a = (-10 + 2a) + -3(a + 1) Reorder the terms: -4 + 2a = -10 + 2a + -3(1 + a) -4 + 2a = -10 + 2a + (1 * -3 + a * -3) -4 + 2a = -10 + 2a + (-3 + -3a) Reorder the terms: -4 + 2a = -10 + -3 + 2a + -3a Combine like terms: -10 + -3 = -13 -4 + 2a = -13 + 2a + -3a Combine like terms: 2a + -3a = -1a -4 + 2a = -13 + -1a Solving -4 + 2a = -13 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -4 + 2a + a = -13 + -1a + a Combine like terms: 2a + a = 3a -4 + 3a = -13 + -1a + a Combine like terms: -1a + a = 0 -4 + 3a = -13 + 0 -4 + 3a = -13 Add '4' to each side of the equation. -4 + 4 + 3a = -13 + 4 Combine like terms: -4 + 4 = 0 0 + 3a = -13 + 4 3a = -13 + 4 Combine like terms: -13 + 4 = -9 3a = -9 Divide each side by '3'. a = -3 Simplifying a = -3
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