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Simplifying (a + -9) = -3(a + -9) + 10 Reorder the terms: (-9 + a) = -3(a + -9) + 10 Remove parenthesis around (-9 + a) -9 + a = -3(a + -9) + 10 Reorder the terms: -9 + a = -3(-9 + a) + 10 -9 + a = (-9 * -3 + a * -3) + 10 -9 + a = (27 + -3a) + 10 Reorder the terms: -9 + a = 27 + 10 + -3a Combine like terms: 27 + 10 = 37 -9 + a = 37 + -3a Solving -9 + a = 37 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -9 + a + 3a = 37 + -3a + 3a Combine like terms: a + 3a = 4a -9 + 4a = 37 + -3a + 3a Combine like terms: -3a + 3a = 0 -9 + 4a = 37 + 0 -9 + 4a = 37 Add '9' to each side of the equation. -9 + 9 + 4a = 37 + 9 Combine like terms: -9 + 9 = 0 0 + 4a = 37 + 9 4a = 37 + 9 Combine like terms: 37 + 9 = 46 4a = 46 Divide each side by '4'. a = 11.5 Simplifying a = 11.5
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