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Simplifying 48 = 9a + -1(3a + 12) Reorder the terms: 48 = 9a + -1(12 + 3a) 48 = 9a + (12 * -1 + 3a * -1) 48 = 9a + (-12 + -3a) Reorder the terms: 48 = -12 + 9a + -3a Combine like terms: 9a + -3a = 6a 48 = -12 + 6a Solving 48 = -12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 48 + -6a = -12 + 6a + -6a Combine like terms: 6a + -6a = 0 48 + -6a = -12 + 0 48 + -6a = -12 Add '-48' to each side of the equation. 48 + -48 + -6a = -12 + -48 Combine like terms: 48 + -48 = 0 0 + -6a = -12 + -48 -6a = -12 + -48 Combine like terms: -12 + -48 = -60 -6a = -60 Divide each side by '-6'. a = 10 Simplifying a = 10
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