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Simplifying 37 = 9(a + -2) + 15 Reorder the terms: 37 = 9(-2 + a) + 15 37 = (-2 * 9 + a * 9) + 15 37 = (-18 + 9a) + 15 Reorder the terms: 37 = -18 + 15 + 9a Combine like terms: -18 + 15 = -3 37 = -3 + 9a Solving 37 = -3 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 37 + -9a = -3 + 9a + -9a Combine like terms: 9a + -9a = 0 37 + -9a = -3 + 0 37 + -9a = -3 Add '-37' to each side of the equation. 37 + -37 + -9a = -3 + -37 Combine like terms: 37 + -37 = 0 0 + -9a = -3 + -37 -9a = -3 + -37 Combine like terms: -3 + -37 = -40 -9a = -40 Divide each side by '-9'. a = 4.444444444 Simplifying a = 4.444444444
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