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Simplifying -6a + -8 = 7(6a + -8) Reorder the terms: -8 + -6a = 7(6a + -8) Reorder the terms: -8 + -6a = 7(-8 + 6a) -8 + -6a = (-8 * 7 + 6a * 7) -8 + -6a = (-56 + 42a) Solving -8 + -6a = -56 + 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. -8 + -6a + -42a = -56 + 42a + -42a Combine like terms: -6a + -42a = -48a -8 + -48a = -56 + 42a + -42a Combine like terms: 42a + -42a = 0 -8 + -48a = -56 + 0 -8 + -48a = -56 Add '8' to each side of the equation. -8 + 8 + -48a = -56 + 8 Combine like terms: -8 + 8 = 0 0 + -48a = -56 + 8 -48a = -56 + 8 Combine like terms: -56 + 8 = -48 -48a = -48 Divide each side by '-48'. a = 1 Simplifying a = 1
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