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Simplifying 2(a + -2) + -1(4a + 5) = 3(5a + 4) + 13 Reorder the terms: 2(-2 + a) + -1(4a + 5) = 3(5a + 4) + 13 (-2 * 2 + a * 2) + -1(4a + 5) = 3(5a + 4) + 13 (-4 + 2a) + -1(4a + 5) = 3(5a + 4) + 13 Reorder the terms: -4 + 2a + -1(5 + 4a) = 3(5a + 4) + 13 -4 + 2a + (5 * -1 + 4a * -1) = 3(5a + 4) + 13 -4 + 2a + (-5 + -4a) = 3(5a + 4) + 13 Reorder the terms: -4 + -5 + 2a + -4a = 3(5a + 4) + 13 Combine like terms: -4 + -5 = -9 -9 + 2a + -4a = 3(5a + 4) + 13 Combine like terms: 2a + -4a = -2a -9 + -2a = 3(5a + 4) + 13 Reorder the terms: -9 + -2a = 3(4 + 5a) + 13 -9 + -2a = (4 * 3 + 5a * 3) + 13 -9 + -2a = (12 + 15a) + 13 Reorder the terms: -9 + -2a = 12 + 13 + 15a Combine like terms: 12 + 13 = 25 -9 + -2a = 25 + 15a Solving -9 + -2a = 25 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -9 + -2a + -15a = 25 + 15a + -15a Combine like terms: -2a + -15a = -17a -9 + -17a = 25 + 15a + -15a Combine like terms: 15a + -15a = 0 -9 + -17a = 25 + 0 -9 + -17a = 25 Add '9' to each side of the equation. -9 + 9 + -17a = 25 + 9 Combine like terms: -9 + 9 = 0 0 + -17a = 25 + 9 -17a = 25 + 9 Combine like terms: 25 + 9 = 34 -17a = 34 Divide each side by '-17'. a = -2 Simplifying a = -2
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