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Simplifying -7a + 8 = 3a + -2 Reorder the terms: 8 + -7a = 3a + -2 Reorder the terms: 8 + -7a = -2 + 3a Solving 8 + -7a = -2 + 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. 8 + -7a + -3a = -2 + 3a + -3a Combine like terms: -7a + -3a = -10a 8 + -10a = -2 + 3a + -3a Combine like terms: 3a + -3a = 0 8 + -10a = -2 + 0 8 + -10a = -2 Add '-8' to each side of the equation. 8 + -8 + -10a = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -10a = -2 + -8 -10a = -2 + -8 Combine like terms: -2 + -8 = -10 -10a = -10 Divide each side by '-10'. a = 1 Simplifying a = 1
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