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Simplifying 6a + 19 = 42a + -89 Reorder the terms: 19 + 6a = 42a + -89 Reorder the terms: 19 + 6a = -89 + 42a Solving 19 + 6a = -89 + 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. 19 + 6a + -42a = -89 + 42a + -42a Combine like terms: 6a + -42a = -36a 19 + -36a = -89 + 42a + -42a Combine like terms: 42a + -42a = 0 19 + -36a = -89 + 0 19 + -36a = -89 Add '-19' to each side of the equation. 19 + -19 + -36a = -89 + -19 Combine like terms: 19 + -19 = 0 0 + -36a = -89 + -19 -36a = -89 + -19 Combine like terms: -89 + -19 = -108 -36a = -108 Divide each side by '-36'. a = 3 Simplifying a = 3
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