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Simplifying 2a + -5 = 3a + -7 Reorder the terms: -5 + 2a = 3a + -7 Reorder the terms: -5 + 2a = -7 + 3a Solving -5 + 2a = -7 + 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. -5 + 2a + -3a = -7 + 3a + -3a Combine like terms: 2a + -3a = -1a -5 + -1a = -7 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + -1a = -7 + 0 -5 + -1a = -7 Add '5' to each side of the equation. -5 + 5 + -1a = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -1a = -7 + 5 -1a = -7 + 5 Combine like terms: -7 + 5 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2
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