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Simplifying 7a + 4a + -17 = 4 + 7a + 7 Reorder the terms: -17 + 7a + 4a = 4 + 7a + 7 Combine like terms: 7a + 4a = 11a -17 + 11a = 4 + 7a + 7 Reorder the terms: -17 + 11a = 4 + 7 + 7a Combine like terms: 4 + 7 = 11 -17 + 11a = 11 + 7a Solving -17 + 11a = 11 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -17 + 11a + -7a = 11 + 7a + -7a Combine like terms: 11a + -7a = 4a -17 + 4a = 11 + 7a + -7a Combine like terms: 7a + -7a = 0 -17 + 4a = 11 + 0 -17 + 4a = 11 Add '17' to each side of the equation. -17 + 17 + 4a = 11 + 17 Combine like terms: -17 + 17 = 0 0 + 4a = 11 + 17 4a = 11 + 17 Combine like terms: 11 + 17 = 28 4a = 28 Divide each side by '4'. a = 7 Simplifying a = 7
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