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Simplifying -1a + 7 = 17 + 3a + -4 Reorder the terms: 7 + -1a = 17 + 3a + -4 Reorder the terms: 7 + -1a = 17 + -4 + 3a Combine like terms: 17 + -4 = 13 7 + -1a = 13 + 3a Solving 7 + -1a = 13 + 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 = 13 + 3a + -3a Combine like terms: -1a + -3a = -4a 7 + -4a = 13 + 3a + -3a Combine like terms: 3a + -3a = 0 7 + -4a = 13 + 0 7 + -4a = 13 Add '-7' to each side of the equation. 7 + -7 + -4a = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = 13 + -7 -4a = 13 + -7 Combine like terms: 13 + -7 = 6 -4a = 6 Divide each side by '-4'. a = -1.5 Simplifying a = -1.5
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