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Simplifying 10 + -2a = 9 + a Solving 10 + -2a = 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. 10 + -2a + -1a = 9 + a + -1a Combine like terms: -2a + -1a = -3a 10 + -3a = 9 + a + -1a Combine like terms: a + -1a = 0 10 + -3a = 9 + 0 10 + -3a = 9 Add '-10' to each side of the equation. 10 + -10 + -3a = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -3a = 9 + -10 -3a = 9 + -10 Combine like terms: 9 + -10 = -1 -3a = -1 Divide each side by '-3'. a = 0.3333333333 Simplifying a = 0.3333333333
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