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Simplifying 2a + -7 = 5a + 17 Reorder the terms: -7 + 2a = 5a + 17 Reorder the terms: -7 + 2a = 17 + 5a Solving -7 + 2a = 17 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -7 + 2a + -5a = 17 + 5a + -5a Combine like terms: 2a + -5a = -3a -7 + -3a = 17 + 5a + -5a Combine like terms: 5a + -5a = 0 -7 + -3a = 17 + 0 -7 + -3a = 17 Add '7' to each side of the equation. -7 + 7 + -3a = 17 + 7 Combine like terms: -7 + 7 = 0 0 + -3a = 17 + 7 -3a = 17 + 7 Combine like terms: 17 + 7 = 24 -3a = 24 Divide each side by '-3'. a = -8 Simplifying a = -8
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