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Simplifying 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 = -12 -1a = -12 Divide each side by '-1'. a = 12 Simplifying a = 12
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