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Simplifying 5 + -3(a + 6) = a + -1 + 8a Reorder the terms: 5 + -3(6 + a) = a + -1 + 8a 5 + (6 * -3 + a * -3) = a + -1 + 8a 5 + (-18 + -3a) = a + -1 + 8a Combine like terms: 5 + -18 = -13 -13 + -3a = a + -1 + 8a Reorder the terms: -13 + -3a = -1 + a + 8a Combine like terms: a + 8a = 9a -13 + -3a = -1 + 9a Solving -13 + -3a = -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. -13 + -3a + -9a = -1 + 9a + -9a Combine like terms: -3a + -9a = -12a -13 + -12a = -1 + 9a + -9a Combine like terms: 9a + -9a = 0 -13 + -12a = -1 + 0 -13 + -12a = -1 Add '13' to each side of the equation. -13 + 13 + -12a = -1 + 13 Combine like terms: -13 + 13 = 0 0 + -12a = -1 + 13 -12a = -1 + 13 Combine like terms: -1 + 13 = 12 -12a = 12 Divide each side by '-12'. a = -1 Simplifying a = -1
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