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Simplifying 10 + -3(a + -1) = 9 + a Reorder the terms: 10 + -3(-1 + a) = 9 + a 10 + (-1 * -3 + a * -3) = 9 + a 10 + (3 + -3a) = 9 + a Combine like terms: 10 + 3 = 13 13 + -3a = 9 + a Solving 13 + -3a = 9 + 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. 13 + -3a + -1a = 9 + a + -1a Combine like terms: -3a + -1a = -4a 13 + -4a = 9 + a + -1a Combine like terms: a + -1a = 0 13 + -4a = 9 + 0 13 + -4a = 9 Add '-13' to each side of the equation. 13 + -13 + -4a = 9 + -13 Combine like terms: 13 + -13 = 0 0 + -4a = 9 + -13 -4a = 9 + -13 Combine like terms: 9 + -13 = -4 -4a = -4 Divide each side by '-4'. a = 1 Simplifying a = 1
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