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Simplifying 7a + -10a + 12 = 6a + -6 Reorder the terms: 12 + 7a + -10a = 6a + -6 Combine like terms: 7a + -10a = -3a 12 + -3a = 6a + -6 Reorder the terms: 12 + -3a = -6 + 6a Solving 12 + -3a = -6 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 12 + -3a + -6a = -6 + 6a + -6a Combine like terms: -3a + -6a = -9a 12 + -9a = -6 + 6a + -6a Combine like terms: 6a + -6a = 0 12 + -9a = -6 + 0 12 + -9a = -6 Add '-12' to each side of the equation. 12 + -12 + -9a = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9a = -6 + -12 -9a = -6 + -12 Combine like terms: -6 + -12 = -18 -9a = -18 Divide each side by '-9'. a = 2 Simplifying a = 2
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