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Simplifying -17 + 8a = 5(3a + 5) Reorder the terms: -17 + 8a = 5(5 + 3a) -17 + 8a = (5 * 5 + 3a * 5) -17 + 8a = (25 + 15a) Solving -17 + 8a = 25 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -17 + 8a + -15a = 25 + 15a + -15a Combine like terms: 8a + -15a = -7a -17 + -7a = 25 + 15a + -15a Combine like terms: 15a + -15a = 0 -17 + -7a = 25 + 0 -17 + -7a = 25 Add '17' to each side of the equation. -17 + 17 + -7a = 25 + 17 Combine like terms: -17 + 17 = 0 0 + -7a = 25 + 17 -7a = 25 + 17 Combine like terms: 25 + 17 = 42 -7a = 42 Divide each side by '-7'. a = -6 Simplifying a = -6
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