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Simplifying 42 = 10 + -8a Solving 42 = 10 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 42 + 8a = 10 + -8a + 8a Combine like terms: -8a + 8a = 0 42 + 8a = 10 + 0 42 + 8a = 10 Add '-42' to each side of the equation. 42 + -42 + 8a = 10 + -42 Combine like terms: 42 + -42 = 0 0 + 8a = 10 + -42 8a = 10 + -42 Combine like terms: 10 + -42 = -32 8a = -32 Divide each side by '8'. a = -4 Simplifying a = -4
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