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Simplifying -61 + -8a = 7(1 + -6a) -61 + -8a = (1 * 7 + -6a * 7) -61 + -8a = (7 + -42a) Solving -61 + -8a = 7 + -42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42a' to each side of the equation. -61 + -8a + 42a = 7 + -42a + 42a Combine like terms: -8a + 42a = 34a -61 + 34a = 7 + -42a + 42a Combine like terms: -42a + 42a = 0 -61 + 34a = 7 + 0 -61 + 34a = 7 Add '61' to each side of the equation. -61 + 61 + 34a = 7 + 61 Combine like terms: -61 + 61 = 0 0 + 34a = 7 + 61 34a = 7 + 61 Combine like terms: 7 + 61 = 68 34a = 68 Divide each side by '34'. a = 2 Simplifying a = 2
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