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Simplifying 5 + -3(1 + 6) = a + -1 + 8a Combine like terms: 1 + 6 = 7 5 + -3(7) = a + -1 + 8a Multiply -3 * 7 5 + -21 = a + -1 + 8a Combine like terms: 5 + -21 = -16 -16 = a + -1 + 8a Reorder the terms: -16 = -1 + a + 8a Combine like terms: a + 8a = 9a -16 = -1 + 9a Solving -16 = -1 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -16 + -9a = -1 + 9a + -9a Combine like terms: 9a + -9a = 0 -16 + -9a = -1 + 0 -16 + -9a = -1 Add '16' to each side of the equation. -16 + 16 + -9a = -1 + 16 Combine like terms: -16 + 16 = 0 0 + -9a = -1 + 16 -9a = -1 + 16 Combine like terms: -1 + 16 = 15 -9a = 15 Divide each side by '-9'. a = -1.666666667 Simplifying a = -1.666666667
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