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Simplifying -13 = 5 + -13 + 3a Combine like terms: 5 + -13 = -8 -13 = -8 + 3a Solving -13 = -8 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -13 + -3a = -8 + 3a + -3a Combine like terms: 3a + -3a = 0 -13 + -3a = -8 + 0 -13 + -3a = -8 Add '13' to each side of the equation. -13 + 13 + -3a = -8 + 13 Combine like terms: -13 + 13 = 0 0 + -3a = -8 + 13 -3a = -8 + 13 Combine like terms: -8 + 13 = 5 -3a = 5 Divide each side by '-3'. a = -1.666666667 Simplifying a = -1.666666667
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