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Simplifying 10 + -2(a + 1) = 3 + a Reorder the terms: 10 + -2(1 + a) = 3 + a 10 + (1 * -2 + a * -2) = 3 + a 10 + (-2 + -2a) = 3 + a Combine like terms: 10 + -2 = 8 8 + -2a = 3 + a Solving 8 + -2a = 3 + 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. 8 + -2a + -1a = 3 + a + -1a Combine like terms: -2a + -1a = -3a 8 + -3a = 3 + a + -1a Combine like terms: a + -1a = 0 8 + -3a = 3 + 0 8 + -3a = 3 Add '-8' to each side of the equation. 8 + -8 + -3a = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -3a = 3 + -8 -3a = 3 + -8 Combine like terms: 3 + -8 = -5 -3a = -5 Divide each side by '-3'. a = 1.666666667 Simplifying a = 1.666666667
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