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Simplifying 13 = 5 + -1(13) + 3a Multiply -1 * 13 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 = -21 -3a = -21 Divide each side by '-3'. a = 7 Simplifying a = 7
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