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Simplifying 7 = 8a + 4a + -13 Reorder the terms: 7 = -13 + 8a + 4a Combine like terms: 8a + 4a = 12a 7 = -13 + 12a Solving 7 = -13 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 7 + -12a = -13 + 12a + -12a Combine like terms: 12a + -12a = 0 7 + -12a = -13 + 0 7 + -12a = -13 Add '-7' to each side of the equation. 7 + -7 + -12a = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -12a = -13 + -7 -12a = -13 + -7 Combine like terms: -13 + -7 = -20 -12a = -20 Divide each side by '-12'. a = 1.666666667 Simplifying a = 1.666666667
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