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Simplifying 2 + -1(9a + 5) = 5 + -7a + -5(a + 4) Reorder the terms: 2 + -1(5 + 9a) = 5 + -7a + -5(a + 4) 2 + (5 * -1 + 9a * -1) = 5 + -7a + -5(a + 4) 2 + (-5 + -9a) = 5 + -7a + -5(a + 4) Combine like terms: 2 + -5 = -3 -3 + -9a = 5 + -7a + -5(a + 4) Reorder the terms: -3 + -9a = 5 + -7a + -5(4 + a) -3 + -9a = 5 + -7a + (4 * -5 + a * -5) -3 + -9a = 5 + -7a + (-20 + -5a) Reorder the terms: -3 + -9a = 5 + -20 + -7a + -5a Combine like terms: 5 + -20 = -15 -3 + -9a = -15 + -7a + -5a Combine like terms: -7a + -5a = -12a -3 + -9a = -15 + -12a Solving -3 + -9a = -15 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -3 + -9a + 12a = -15 + -12a + 12a Combine like terms: -9a + 12a = 3a -3 + 3a = -15 + -12a + 12a Combine like terms: -12a + 12a = 0 -3 + 3a = -15 + 0 -3 + 3a = -15 Add '3' to each side of the equation. -3 + 3 + 3a = -15 + 3 Combine like terms: -3 + 3 = 0 0 + 3a = -15 + 3 3a = -15 + 3 Combine like terms: -15 + 3 = -12 3a = -12 Divide each side by '3'. a = -4 Simplifying a = -4
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