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Simplifying 7 + -4a = -1a + -13 Reorder the terms: 7 + -4a = -13 + -1a Solving 7 + -4a = -13 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 7 + -4a + a = -13 + -1a + a Combine like terms: -4a + a = -3a 7 + -3a = -13 + -1a + a Combine like terms: -1a + a = 0 7 + -3a = -13 + 0 7 + -3a = -13 Add '-7' to each side of the equation. 7 + -7 + -3a = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -3a = -13 + -7 -3a = -13 + -7 Combine like terms: -13 + -7 = -20 -3a = -20 Divide each side by '-3'. a = 6.666666667 Simplifying a = 6.666666667
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