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Simplifying 2a + 45 = 3a + -20 Reorder the terms: 45 + 2a = 3a + -20 Reorder the terms: 45 + 2a = -20 + 3a Solving 45 + 2a = -20 + 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. 45 + 2a + -3a = -20 + 3a + -3a Combine like terms: 2a + -3a = -1a 45 + -1a = -20 + 3a + -3a Combine like terms: 3a + -3a = 0 45 + -1a = -20 + 0 45 + -1a = -20 Add '-45' to each side of the equation. 45 + -45 + -1a = -20 + -45 Combine like terms: 45 + -45 = 0 0 + -1a = -20 + -45 -1a = -20 + -45 Combine like terms: -20 + -45 = -65 -1a = -65 Divide each side by '-1'. a = 65 Simplifying a = 65
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