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Simplifying 7(a + -8) + 17 = 4(a + -6) Reorder the terms: 7(-8 + a) + 17 = 4(a + -6) (-8 * 7 + a * 7) + 17 = 4(a + -6) (-56 + 7a) + 17 = 4(a + -6) Reorder the terms: -56 + 17 + 7a = 4(a + -6) Combine like terms: -56 + 17 = -39 -39 + 7a = 4(a + -6) Reorder the terms: -39 + 7a = 4(-6 + a) -39 + 7a = (-6 * 4 + a * 4) -39 + 7a = (-24 + 4a) Solving -39 + 7a = -24 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -39 + 7a + -4a = -24 + 4a + -4a Combine like terms: 7a + -4a = 3a -39 + 3a = -24 + 4a + -4a Combine like terms: 4a + -4a = 0 -39 + 3a = -24 + 0 -39 + 3a = -24 Add '39' to each side of the equation. -39 + 39 + 3a = -24 + 39 Combine like terms: -39 + 39 = 0 0 + 3a = -24 + 39 3a = -24 + 39 Combine like terms: -24 + 39 = 15 3a = 15 Divide each side by '3'. a = 5 Simplifying a = 5
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