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Simplifying -13 + 8a = 7(5 + 8a) -13 + 8a = (5 * 7 + 8a * 7) -13 + 8a = (35 + 56a) Solving -13 + 8a = 35 + 56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-56a' to each side of the equation. -13 + 8a + -56a = 35 + 56a + -56a Combine like terms: 8a + -56a = -48a -13 + -48a = 35 + 56a + -56a Combine like terms: 56a + -56a = 0 -13 + -48a = 35 + 0 -13 + -48a = 35 Add '13' to each side of the equation. -13 + 13 + -48a = 35 + 13 Combine like terms: -13 + 13 = 0 0 + -48a = 35 + 13 -48a = 35 + 13 Combine like terms: 35 + 13 = 48 -48a = 48 Divide each side by '-48'. a = -1 Simplifying a = -1
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