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Simplifying 8 + -3(a + 1) = 3 + a Reorder the terms: 8 + -3(1 + a) = 3 + a 8 + (1 * -3 + a * -3) = 3 + a 8 + (-3 + -3a) = 3 + a Combine like terms: 8 + -3 = 5 5 + -3a = 3 + a Solving 5 + -3a = 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. 5 + -3a + -1a = 3 + a + -1a Combine like terms: -3a + -1a = -4a 5 + -4a = 3 + a + -1a Combine like terms: a + -1a = 0 5 + -4a = 3 + 0 5 + -4a = 3 Add '-5' to each side of the equation. 5 + -5 + -4a = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -4a = 3 + -5 -4a = 3 + -5 Combine like terms: 3 + -5 = -2 -4a = -2 Divide each side by '-4'. a = 0.5 Simplifying a = 0.5
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