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Simplifying 5 + (6 + -20) = (5a + -11) + -1(6 + 3a) Combine like terms: 6 + -20 = -14 5 + (-14) = (5a + -11) + -1(6 + 3a) 5 + -14 = (5a + -11) + -1(6 + 3a) Combine like terms: 5 + -14 = -9 -9 = (5a + -11) + -1(6 + 3a) Reorder the terms: -9 = (-11 + 5a) + -1(6 + 3a) Remove parenthesis around (-11 + 5a) -9 = -11 + 5a + -1(6 + 3a) -9 = -11 + 5a + (6 * -1 + 3a * -1) -9 = -11 + 5a + (-6 + -3a) Reorder the terms: -9 = -11 + -6 + 5a + -3a Combine like terms: -11 + -6 = -17 -9 = -17 + 5a + -3a Combine like terms: 5a + -3a = 2a -9 = -17 + 2a Solving -9 = -17 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -9 + -2a = -17 + 2a + -2a Combine like terms: 2a + -2a = 0 -9 + -2a = -17 + 0 -9 + -2a = -17 Add '9' to each side of the equation. -9 + 9 + -2a = -17 + 9 Combine like terms: -9 + 9 = 0 0 + -2a = -17 + 9 -2a = -17 + 9 Combine like terms: -17 + 9 = -8 -2a = -8 Divide each side by '-2'. a = 4 Simplifying a = 4
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