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Simplifying 11 + -3(a + -1) = 10 + a Reorder the terms: 11 + -3(-1 + a) = 10 + a 11 + (-1 * -3 + a * -3) = 10 + a 11 + (3 + -3a) = 10 + a Combine like terms: 11 + 3 = 14 14 + -3a = 10 + a Solving 14 + -3a = 10 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 14 + -3a + -1a = 10 + a + -1a Combine like terms: -3a + -1a = -4a 14 + -4a = 10 + a + -1a Combine like terms: a + -1a = 0 14 + -4a = 10 + 0 14 + -4a = 10 Add '-14' to each side of the equation. 14 + -14 + -4a = 10 + -14 Combine like terms: 14 + -14 = 0 0 + -4a = 10 + -14 -4a = 10 + -14 Combine like terms: 10 + -14 = -4 -4a = -4 Divide each side by '-4'. a = 1 Simplifying a = 1
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