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Simplifying 8 + a + -1 = 3a + -3 Reorder the terms: 8 + -1 + a = 3a + -3 Combine like terms: 8 + -1 = 7 7 + a = 3a + -3 Reorder the terms: 7 + a = -3 + 3a Solving 7 + a = -3 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 7 + a + -3a = -3 + 3a + -3a Combine like terms: a + -3a = -2a 7 + -2a = -3 + 3a + -3a Combine like terms: 3a + -3a = 0 7 + -2a = -3 + 0 7 + -2a = -3 Add '-7' to each side of the equation. 7 + -7 + -2a = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = -3 + -7 -2a = -3 + -7 Combine like terms: -3 + -7 = -10 -2a = -10 Divide each side by '-2'. a = 5 Simplifying a = 5
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