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Simplifying -17 + 5a = 7(4a + 7) Reorder the terms: -17 + 5a = 7(7 + 4a) -17 + 5a = (7 * 7 + 4a * 7) -17 + 5a = (49 + 28a) Solving -17 + 5a = 49 + 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. -17 + 5a + -28a = 49 + 28a + -28a Combine like terms: 5a + -28a = -23a -17 + -23a = 49 + 28a + -28a Combine like terms: 28a + -28a = 0 -17 + -23a = 49 + 0 -17 + -23a = 49 Add '17' to each side of the equation. -17 + 17 + -23a = 49 + 17 Combine like terms: -17 + 17 = 0 0 + -23a = 49 + 17 -23a = 49 + 17 Combine like terms: 49 + 17 = 66 -23a = 66 Divide each side by '-23'. a = -2.869565217 Simplifying a = -2.869565217
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