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Simplifying 6a + 37 = 12a + -10 Reorder the terms: 37 + 6a = 12a + -10 Reorder the terms: 37 + 6a = -10 + 12a Solving 37 + 6a = -10 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 37 + 6a + -12a = -10 + 12a + -12a Combine like terms: 6a + -12a = -6a 37 + -6a = -10 + 12a + -12a Combine like terms: 12a + -12a = 0 37 + -6a = -10 + 0 37 + -6a = -10 Add '-37' to each side of the equation. 37 + -37 + -6a = -10 + -37 Combine like terms: 37 + -37 = 0 0 + -6a = -10 + -37 -6a = -10 + -37 Combine like terms: -10 + -37 = -47 -6a = -47 Divide each side by '-6'. a = 7.833333333 Simplifying a = 7.833333333
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