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Simplifying 10 + -3(a + 2) = 8 + a Reorder the terms: 10 + -3(2 + a) = 8 + a 10 + (2 * -3 + a * -3) = 8 + a 10 + (-6 + -3a) = 8 + a Combine like terms: 10 + -6 = 4 4 + -3a = 8 + a Solving 4 + -3a = 8 + 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. 4 + -3a + -1a = 8 + a + -1a Combine like terms: -3a + -1a = -4a 4 + -4a = 8 + a + -1a Combine like terms: a + -1a = 0 4 + -4a = 8 + 0 4 + -4a = 8 Add '-4' to each side of the equation. 4 + -4 + -4a = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -4a = 8 + -4 -4a = 8 + -4 Combine like terms: 8 + -4 = 4 -4a = 4 Divide each side by '-4'. a = -1 Simplifying a = -1
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