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Simplifying 5a + -12a = 2a + -7 Combine like terms: 5a + -12a = -7a -7a = 2a + -7 Reorder the terms: -7a = -7 + 2a Solving -7a = -7 + 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. -7a + -2a = -7 + 2a + -2a Combine like terms: -7a + -2a = -9a -9a = -7 + 2a + -2a Combine like terms: 2a + -2a = 0 -9a = -7 + 0 -9a = -7 Divide each side by '-9'. a = 0.7777777778 Simplifying a = 0.7777777778
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