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Simplifying 40 + -9a = 2a + -3a Combine like terms: 2a + -3a = -1a 40 + -9a = -1a Solving 40 + -9a = -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 40 + -9a + a = -1a + a Combine like terms: -9a + a = -8a 40 + -8a = -1a + a Combine like terms: -1a + a = 0 40 + -8a = 0 Add '-40' to each side of the equation. 40 + -40 + -8a = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -8a = 0 + -40 -8a = 0 + -40 Combine like terms: 0 + -40 = -40 -8a = -40 Divide each side by '-8'. a = 5 Simplifying a = 5
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