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Simplifying 78 = 15a + -12 Reorder the terms: 78 = -12 + 15a Solving 78 = -12 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 78 + -15a = -12 + 15a + -15a Combine like terms: 15a + -15a = 0 78 + -15a = -12 + 0 78 + -15a = -12 Add '-78' to each side of the equation. 78 + -78 + -15a = -12 + -78 Combine like terms: 78 + -78 = 0 0 + -15a = -12 + -78 -15a = -12 + -78 Combine like terms: -12 + -78 = -90 -15a = -90 Divide each side by '-15'. a = 6 Simplifying a = 6
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