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Simplifying 5a + -7 = 7a + -17 Reorder the terms: -7 + 5a = 7a + -17 Reorder the terms: -7 + 5a = -17 + 7a Solving -7 + 5a = -17 + 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. -7 + 5a + -7a = -17 + 7a + -7a Combine like terms: 5a + -7a = -2a -7 + -2a = -17 + 7a + -7a Combine like terms: 7a + -7a = 0 -7 + -2a = -17 + 0 -7 + -2a = -17 Add '7' to each side of the equation. -7 + 7 + -2a = -17 + 7 Combine like terms: -7 + 7 = 0 0 + -2a = -17 + 7 -2a = -17 + 7 Combine like terms: -17 + 7 = -10 -2a = -10 Divide each side by '-2'. a = 5 Simplifying a = 5
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