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Simplifying 12a + -84 = 10a + -65 Reorder the terms: -84 + 12a = 10a + -65 Reorder the terms: -84 + 12a = -65 + 10a Solving -84 + 12a = -65 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -84 + 12a + -10a = -65 + 10a + -10a Combine like terms: 12a + -10a = 2a -84 + 2a = -65 + 10a + -10a Combine like terms: 10a + -10a = 0 -84 + 2a = -65 + 0 -84 + 2a = -65 Add '84' to each side of the equation. -84 + 84 + 2a = -65 + 84 Combine like terms: -84 + 84 = 0 0 + 2a = -65 + 84 2a = -65 + 84 Combine like terms: -65 + 84 = 19 2a = 19 Divide each side by '2'. a = 9.5 Simplifying a = 9.5
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