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Simplifying -27 = 2 + 7(a + -6) Reorder the terms: -27 = 2 + 7(-6 + a) -27 = 2 + (-6 * 7 + a * 7) -27 = 2 + (-42 + 7a) Combine like terms: 2 + -42 = -40 -27 = -40 + 7a Solving -27 = -40 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -27 + -7a = -40 + 7a + -7a Combine like terms: 7a + -7a = 0 -27 + -7a = -40 + 0 -27 + -7a = -40 Add '27' to each side of the equation. -27 + 27 + -7a = -40 + 27 Combine like terms: -27 + 27 = 0 0 + -7a = -40 + 27 -7a = -40 + 27 Combine like terms: -40 + 27 = -13 -7a = -13 Divide each side by '-7'. a = 1.857142857 Simplifying a = 1.857142857
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