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Simplifying 3a + 6 + -7a = 2a + 18 Reorder the terms: 6 + 3a + -7a = 2a + 18 Combine like terms: 3a + -7a = -4a 6 + -4a = 2a + 18 Reorder the terms: 6 + -4a = 18 + 2a Solving 6 + -4a = 18 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 6 + -4a + -2a = 18 + 2a + -2a Combine like terms: -4a + -2a = -6a 6 + -6a = 18 + 2a + -2a Combine like terms: 2a + -2a = 0 6 + -6a = 18 + 0 6 + -6a = 18 Add '-6' to each side of the equation. 6 + -6 + -6a = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -6a = 18 + -6 -6a = 18 + -6 Combine like terms: 18 + -6 = 12 -6a = 12 Divide each side by '-6'. a = -2 Simplifying a = -2
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