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Simplifying a + 12 = -2a + 10 Reorder the terms: 12 + a = -2a + 10 Reorder the terms: 12 + a = 10 + -2a Solving 12 + a = 10 + -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. 12 + a + 2a = 10 + -2a + 2a Combine like terms: a + 2a = 3a 12 + 3a = 10 + -2a + 2a Combine like terms: -2a + 2a = 0 12 + 3a = 10 + 0 12 + 3a = 10 Add '-12' to each side of the equation. 12 + -12 + 3a = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = 10 + -12 3a = 10 + -12 Combine like terms: 10 + -12 = -2 3a = -2 Divide each side by '3'. a = -0.6666666667 Simplifying a = -0.6666666667
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