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Simplifying 7a + -9 = 12(a + -5) Reorder the terms: -9 + 7a = 12(a + -5) Reorder the terms: -9 + 7a = 12(-5 + a) -9 + 7a = (-5 * 12 + a * 12) -9 + 7a = (-60 + 12a) Solving -9 + 7a = -60 + 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. -9 + 7a + -12a = -60 + 12a + -12a Combine like terms: 7a + -12a = -5a -9 + -5a = -60 + 12a + -12a Combine like terms: 12a + -12a = 0 -9 + -5a = -60 + 0 -9 + -5a = -60 Add '9' to each side of the equation. -9 + 9 + -5a = -60 + 9 Combine like terms: -9 + 9 = 0 0 + -5a = -60 + 9 -5a = -60 + 9 Combine like terms: -60 + 9 = -51 -5a = -51 Divide each side by '-5'. a = 10.2 Simplifying a = 10.2
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