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Simplifying 2a + 5 = 7a + -100 Reorder the terms: 5 + 2a = 7a + -100 Reorder the terms: 5 + 2a = -100 + 7a Solving 5 + 2a = -100 + 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. 5 + 2a + -7a = -100 + 7a + -7a Combine like terms: 2a + -7a = -5a 5 + -5a = -100 + 7a + -7a Combine like terms: 7a + -7a = 0 5 + -5a = -100 + 0 5 + -5a = -100 Add '-5' to each side of the equation. 5 + -5 + -5a = -100 + -5 Combine like terms: 5 + -5 = 0 0 + -5a = -100 + -5 -5a = -100 + -5 Combine like terms: -100 + -5 = -105 -5a = -105 Divide each side by '-5'. a = 21 Simplifying a = 21
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