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Simplifying -6(a + 2) + 3 = -27 + -3a Reorder the terms: -6(2 + a) + 3 = -27 + -3a (2 * -6 + a * -6) + 3 = -27 + -3a (-12 + -6a) + 3 = -27 + -3a Reorder the terms: -12 + 3 + -6a = -27 + -3a Combine like terms: -12 + 3 = -9 -9 + -6a = -27 + -3a Solving -9 + -6a = -27 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -9 + -6a + 3a = -27 + -3a + 3a Combine like terms: -6a + 3a = -3a -9 + -3a = -27 + -3a + 3a Combine like terms: -3a + 3a = 0 -9 + -3a = -27 + 0 -9 + -3a = -27 Add '9' to each side of the equation. -9 + 9 + -3a = -27 + 9 Combine like terms: -9 + 9 = 0 0 + -3a = -27 + 9 -3a = -27 + 9 Combine like terms: -27 + 9 = -18 -3a = -18 Divide each side by '-3'. a = 6 Simplifying a = 6
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