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Simplifying 2a + 16 = -5a + 58 Reorder the terms: 16 + 2a = -5a + 58 Reorder the terms: 16 + 2a = 58 + -5a Solving 16 + 2a = 58 + -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. 16 + 2a + 5a = 58 + -5a + 5a Combine like terms: 2a + 5a = 7a 16 + 7a = 58 + -5a + 5a Combine like terms: -5a + 5a = 0 16 + 7a = 58 + 0 16 + 7a = 58 Add '-16' to each side of the equation. 16 + -16 + 7a = 58 + -16 Combine like terms: 16 + -16 = 0 0 + 7a = 58 + -16 7a = 58 + -16 Combine like terms: 58 + -16 = 42 7a = 42 Divide each side by '7'. a = 6 Simplifying a = 6
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