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Simplifying 5a + 3 = 10a + -12 Reorder the terms: 3 + 5a = 10a + -12 Reorder the terms: 3 + 5a = -12 + 10a Solving 3 + 5a = -12 + 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. 3 + 5a + -10a = -12 + 10a + -10a Combine like terms: 5a + -10a = -5a 3 + -5a = -12 + 10a + -10a Combine like terms: 10a + -10a = 0 3 + -5a = -12 + 0 3 + -5a = -12 Add '-3' to each side of the equation. 3 + -3 + -5a = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = -12 + -3 -5a = -12 + -3 Combine like terms: -12 + -3 = -15 -5a = -15 Divide each side by '-5'. a = 3 Simplifying a = 3
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