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Simplifying -17 + -5a = 8a + 2(4 + 6a) -17 + -5a = 8a + (4 * 2 + 6a * 2) -17 + -5a = 8a + (8 + 12a) Reorder the terms: -17 + -5a = 8 + 8a + 12a Combine like terms: 8a + 12a = 20a -17 + -5a = 8 + 20a Solving -17 + -5a = 8 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -17 + -5a + -20a = 8 + 20a + -20a Combine like terms: -5a + -20a = -25a -17 + -25a = 8 + 20a + -20a Combine like terms: 20a + -20a = 0 -17 + -25a = 8 + 0 -17 + -25a = 8 Add '17' to each side of the equation. -17 + 17 + -25a = 8 + 17 Combine like terms: -17 + 17 = 0 0 + -25a = 8 + 17 -25a = 8 + 17 Combine like terms: 8 + 17 = 25 -25a = 25 Divide each side by '-25'. a = -1 Simplifying a = -1
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