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Simplifying 13 + 7a = 6 + 7(5a + -7) Reorder the terms: 13 + 7a = 6 + 7(-7 + 5a) 13 + 7a = 6 + (-7 * 7 + 5a * 7) 13 + 7a = 6 + (-49 + 35a) Combine like terms: 6 + -49 = -43 13 + 7a = -43 + 35a Solving 13 + 7a = -43 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. 13 + 7a + -35a = -43 + 35a + -35a Combine like terms: 7a + -35a = -28a 13 + -28a = -43 + 35a + -35a Combine like terms: 35a + -35a = 0 13 + -28a = -43 + 0 13 + -28a = -43 Add '-13' to each side of the equation. 13 + -13 + -28a = -43 + -13 Combine like terms: 13 + -13 = 0 0 + -28a = -43 + -13 -28a = -43 + -13 Combine like terms: -43 + -13 = -56 -28a = -56 Divide each side by '-28'. a = 2 Simplifying a = 2
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