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Simplifying 8a + -6a + 2 = -4a + 62 + -9a Reorder the terms: 2 + 8a + -6a = -4a + 62 + -9a Combine like terms: 8a + -6a = 2a 2 + 2a = -4a + 62 + -9a Reorder the terms: 2 + 2a = 62 + -4a + -9a Combine like terms: -4a + -9a = -13a 2 + 2a = 62 + -13a Solving 2 + 2a = 62 + -13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13a' to each side of the equation. 2 + 2a + 13a = 62 + -13a + 13a Combine like terms: 2a + 13a = 15a 2 + 15a = 62 + -13a + 13a Combine like terms: -13a + 13a = 0 2 + 15a = 62 + 0 2 + 15a = 62 Add '-2' to each side of the equation. 2 + -2 + 15a = 62 + -2 Combine like terms: 2 + -2 = 0 0 + 15a = 62 + -2 15a = 62 + -2 Combine like terms: 62 + -2 = 60 15a = 60 Divide each side by '15'. a = 4 Simplifying a = 4
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