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Simplifying 58 = 5a + 10 + -3a Reorder the terms: 58 = 10 + 5a + -3a Combine like terms: 5a + -3a = 2a 58 = 10 + 2a Solving 58 = 10 + 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. 58 + -2a = 10 + 2a + -2a Combine like terms: 2a + -2a = 0 58 + -2a = 10 + 0 58 + -2a = 10 Add '-58' to each side of the equation. 58 + -58 + -2a = 10 + -58 Combine like terms: 58 + -58 = 0 0 + -2a = 10 + -58 -2a = 10 + -58 Combine like terms: 10 + -58 = -48 -2a = -48 Divide each side by '-2'. a = 24 Simplifying a = 24
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