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Simplifying -8 + 3a = 3 + -7(a + -7) Reorder the terms: -8 + 3a = 3 + -7(-7 + a) -8 + 3a = 3 + (-7 * -7 + a * -7) -8 + 3a = 3 + (49 + -7a) Combine like terms: 3 + 49 = 52 -8 + 3a = 52 + -7a Solving -8 + 3a = 52 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -8 + 3a + 7a = 52 + -7a + 7a Combine like terms: 3a + 7a = 10a -8 + 10a = 52 + -7a + 7a Combine like terms: -7a + 7a = 0 -8 + 10a = 52 + 0 -8 + 10a = 52 Add '8' to each side of the equation. -8 + 8 + 10a = 52 + 8 Combine like terms: -8 + 8 = 0 0 + 10a = 52 + 8 10a = 52 + 8 Combine like terms: 52 + 8 = 60 10a = 60 Divide each side by '10'. a = 6 Simplifying a = 6
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