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Simplifying 4 + -9a + 10 = 3a + -10 Reorder the terms: 4 + 10 + -9a = 3a + -10 Combine like terms: 4 + 10 = 14 14 + -9a = 3a + -10 Reorder the terms: 14 + -9a = -10 + 3a Solving 14 + -9a = -10 + 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. 14 + -9a + -3a = -10 + 3a + -3a Combine like terms: -9a + -3a = -12a 14 + -12a = -10 + 3a + -3a Combine like terms: 3a + -3a = 0 14 + -12a = -10 + 0 14 + -12a = -10 Add '-14' to each side of the equation. 14 + -14 + -12a = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -12a = -10 + -14 -12a = -10 + -14 Combine like terms: -10 + -14 = -24 -12a = -24 Divide each side by '-12'. a = 2 Simplifying a = 2
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