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Simplifying 10a + 33 = -41 + (-3a) Reorder the terms: 33 + 10a = -41 + (-3a) Solving 33 + 10a = -41 + (-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. 33 + 10a + (3a) = -41 + (-3a) + (3a) Combine like terms: 10a + (3a) = 13a 33 + 13a = -41 + (-3a) + (3a) Combine like terms: (-3a) + (3a) = 0 33 + 13a = -41 + 0 33 + 13a = -41 Add '-33' to each side of the equation. 33 + -33 + 13a = -41 + -33 Combine like terms: 33 + -33 = 0 0 + 13a = -41 + -33 13a = -41 + -33 Combine like terms: -41 + -33 = -74 13a = -74 Divide each side by '13'. a = -5.692307692 Simplifying a = -5.692307692
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