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Simplifying 45a + -1200 = 60a + -1800 Reorder the terms: -1200 + 45a = 60a + -1800 Reorder the terms: -1200 + 45a = -1800 + 60a Solving -1200 + 45a = -1800 + 60a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60a' to each side of the equation. -1200 + 45a + -60a = -1800 + 60a + -60a Combine like terms: 45a + -60a = -15a -1200 + -15a = -1800 + 60a + -60a Combine like terms: 60a + -60a = 0 -1200 + -15a = -1800 + 0 -1200 + -15a = -1800 Add '1200' to each side of the equation. -1200 + 1200 + -15a = -1800 + 1200 Combine like terms: -1200 + 1200 = 0 0 + -15a = -1800 + 1200 -15a = -1800 + 1200 Combine like terms: -1800 + 1200 = -600 -15a = -600 Divide each side by '-15'. a = 40 Simplifying a = 40
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