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Simplifying a + -3 = 4a + 8 + -2 Reorder the terms: -3 + a = 4a + 8 + -2 Reorder the terms: -3 + a = 8 + -2 + 4a Combine like terms: 8 + -2 = 6 -3 + a = 6 + 4a Solving -3 + a = 6 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -3 + a + -4a = 6 + 4a + -4a Combine like terms: a + -4a = -3a -3 + -3a = 6 + 4a + -4a Combine like terms: 4a + -4a = 0 -3 + -3a = 6 + 0 -3 + -3a = 6 Add '3' to each side of the equation. -3 + 3 + -3a = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -3a = 6 + 3 -3a = 6 + 3 Combine like terms: 6 + 3 = 9 -3a = 9 Divide each side by '-3'. a = -3 Simplifying a = -3
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