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Simplifying 5a + 3 + -4a + 4 = a + 17 + 2a + -3 Reorder the terms: 3 + 4 + 5a + -4a = a + 17 + 2a + -3 Combine like terms: 3 + 4 = 7 7 + 5a + -4a = a + 17 + 2a + -3 Combine like terms: 5a + -4a = 1a 7 + 1a = a + 17 + 2a + -3 Reorder the terms: 7 + 1a = 17 + -3 + a + 2a Combine like terms: 17 + -3 = 14 7 + 1a = 14 + a + 2a Combine like terms: a + 2a = 3a 7 + 1a = 14 + 3a Solving 7 + 1a = 14 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 7 + 1a + -3a = 14 + 3a + -3a Combine like terms: 1a + -3a = -2a 7 + -2a = 14 + 3a + -3a Combine like terms: 3a + -3a = 0 7 + -2a = 14 + 0 7 + -2a = 14 Add '-7' to each side of the equation. 7 + -7 + -2a = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = 14 + -7 -2a = 14 + -7 Combine like terms: 14 + -7 = 7 -2a = 7 Divide each side by '-2'. a = -3.5 Simplifying a = -3.5
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