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Simplifying 42 + -2a = -15a + 1 Reorder the terms: 42 + -2a = 1 + -15a Solving 42 + -2a = 1 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. 42 + -2a + 15a = 1 + -15a + 15a Combine like terms: -2a + 15a = 13a 42 + 13a = 1 + -15a + 15a Combine like terms: -15a + 15a = 0 42 + 13a = 1 + 0 42 + 13a = 1 Add '-42' to each side of the equation. 42 + -42 + 13a = 1 + -42 Combine like terms: 42 + -42 = 0 0 + 13a = 1 + -42 13a = 1 + -42 Combine like terms: 1 + -42 = -41 13a = -41 Divide each side by '13'. a = -3.153846154 Simplifying a = -3.153846154
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