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Simplifying -7(-8a + 6) = 17 + -3a Reorder the terms: -7(6 + -8a) = 17 + -3a (6 * -7 + -8a * -7) = 17 + -3a (-42 + 56a) = 17 + -3a Solving -42 + 56a = 17 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -42 + 56a + 3a = 17 + -3a + 3a Combine like terms: 56a + 3a = 59a -42 + 59a = 17 + -3a + 3a Combine like terms: -3a + 3a = 0 -42 + 59a = 17 + 0 -42 + 59a = 17 Add '42' to each side of the equation. -42 + 42 + 59a = 17 + 42 Combine like terms: -42 + 42 = 0 0 + 59a = 17 + 42 59a = 17 + 42 Combine like terms: 17 + 42 = 59 59a = 59 Divide each side by '59'. a = 1 Simplifying a = 1
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