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Simplifying 40 + -3a = 10 + -1a Solving 40 + -3a = 10 + -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 + -3a + a = 10 + -1a + a Combine like terms: -3a + a = -2a 40 + -2a = 10 + -1a + a Combine like terms: -1a + a = 0 40 + -2a = 10 + 0 40 + -2a = 10 Add '-40' to each side of the equation. 40 + -40 + -2a = 10 + -40 Combine like terms: 40 + -40 = 0 0 + -2a = 10 + -40 -2a = 10 + -40 Combine like terms: 10 + -40 = -30 -2a = -30 Divide each side by '-2'. a = 15 Simplifying a = 15
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