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Simplifying 10 + -2a + 1 + 3a = -10(a + -11) + -11(-5a + 1) Reorder the terms: 10 + 1 + -2a + 3a = -10(a + -11) + -11(-5a + 1) Combine like terms: 10 + 1 = 11 11 + -2a + 3a = -10(a + -11) + -11(-5a + 1) Combine like terms: -2a + 3a = 1a 11 + 1a = -10(a + -11) + -11(-5a + 1) Reorder the terms: 11 + 1a = -10(-11 + a) + -11(-5a + 1) 11 + 1a = (-11 * -10 + a * -10) + -11(-5a + 1) 11 + 1a = (110 + -10a) + -11(-5a + 1) Reorder the terms: 11 + 1a = 110 + -10a + -11(1 + -5a) 11 + 1a = 110 + -10a + (1 * -11 + -5a * -11) 11 + 1a = 110 + -10a + (-11 + 55a) Reorder the terms: 11 + 1a = 110 + -11 + -10a + 55a Combine like terms: 110 + -11 = 99 11 + 1a = 99 + -10a + 55a Combine like terms: -10a + 55a = 45a 11 + 1a = 99 + 45a Solving 11 + 1a = 99 + 45a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45a' to each side of the equation. 11 + 1a + -45a = 99 + 45a + -45a Combine like terms: 1a + -45a = -44a 11 + -44a = 99 + 45a + -45a Combine like terms: 45a + -45a = 0 11 + -44a = 99 + 0 11 + -44a = 99 Add '-11' to each side of the equation. 11 + -11 + -44a = 99 + -11 Combine like terms: 11 + -11 = 0 0 + -44a = 99 + -11 -44a = 99 + -11 Combine like terms: 99 + -11 = 88 -44a = 88 Divide each side by '-44'. a = -2 Simplifying a = -2
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