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Simplifying 7a + -4 = 10 + -2a + -41 Reorder the terms: -4 + 7a = 10 + -2a + -41 Reorder the terms: -4 + 7a = 10 + -41 + -2a Combine like terms: 10 + -41 = -31 -4 + 7a = -31 + -2a Solving -4 + 7a = -31 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -4 + 7a + 2a = -31 + -2a + 2a Combine like terms: 7a + 2a = 9a -4 + 9a = -31 + -2a + 2a Combine like terms: -2a + 2a = 0 -4 + 9a = -31 + 0 -4 + 9a = -31 Add '4' to each side of the equation. -4 + 4 + 9a = -31 + 4 Combine like terms: -4 + 4 = 0 0 + 9a = -31 + 4 9a = -31 + 4 Combine like terms: -31 + 4 = -27 9a = -27 Divide each side by '9'. a = -3 Simplifying a = -3
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