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Simplifying 3a + 8a + -17 = 15a + 28 Reorder the terms: -17 + 3a + 8a = 15a + 28 Combine like terms: 3a + 8a = 11a -17 + 11a = 15a + 28 Reorder the terms: -17 + 11a = 28 + 15a Solving -17 + 11a = 28 + 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 + 11a + -15a = 28 + 15a + -15a Combine like terms: 11a + -15a = -4a -17 + -4a = 28 + 15a + -15a Combine like terms: 15a + -15a = 0 -17 + -4a = 28 + 0 -17 + -4a = 28 Add '17' to each side of the equation. -17 + 17 + -4a = 28 + 17 Combine like terms: -17 + 17 = 0 0 + -4a = 28 + 17 -4a = 28 + 17 Combine like terms: 28 + 17 = 45 -4a = 45 Divide each side by '-4'. a = -11.25 Simplifying a = -11.25
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