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Simplifying 20 = -9 + 6(a + -7) Reorder the terms: 20 = -9 + 6(-7 + a) 20 = -9 + (-7 * 6 + a * 6) 20 = -9 + (-42 + 6a) Combine like terms: -9 + -42 = -51 20 = -51 + 6a Solving 20 = -51 + 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. 20 + -6a = -51 + 6a + -6a Combine like terms: 6a + -6a = 0 20 + -6a = -51 + 0 20 + -6a = -51 Add '-20' to each side of the equation. 20 + -20 + -6a = -51 + -20 Combine like terms: 20 + -20 = 0 0 + -6a = -51 + -20 -6a = -51 + -20 Combine like terms: -51 + -20 = -71 -6a = -71 Divide each side by '-6'. a = 11.83333333 Simplifying a = 11.83333333
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