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Simplifying -1(6 + -7a) + -1(12 + 6a) + -18 = -1(5 + -7a) + (-1a) + 4 (6 * -1 + -7a * -1) + -1(12 + 6a) + -18 = -1(5 + -7a) + (-1a) + 4 (-6 + 7a) + -1(12 + 6a) + -18 = -1(5 + -7a) + (-1a) + 4 -6 + 7a + (12 * -1 + 6a * -1) + -18 = -1(5 + -7a) + (-1a) + 4 -6 + 7a + (-12 + -6a) + -18 = -1(5 + -7a) + (-1a) + 4 Reorder the terms: -6 + -12 + -18 + 7a + -6a = -1(5 + -7a) + (-1a) + 4 Combine like terms: -6 + -12 = -18 -18 + -18 + 7a + -6a = -1(5 + -7a) + (-1a) + 4 Combine like terms: -18 + -18 = -36 -36 + 7a + -6a = -1(5 + -7a) + (-1a) + 4 Combine like terms: 7a + -6a = 1a -36 + 1a = -1(5 + -7a) + (-1a) + 4 -36 + 1a = (5 * -1 + -7a * -1) + (-1a) + 4 -36 + 1a = (-5 + 7a) + (-1a) + 4 Reorder the terms: -36 + 1a = -5 + 4 + 7a + (-1a) Combine like terms: -5 + 4 = -1 -36 + 1a = -1 + 7a + (-1a) Combine like terms: 7a + (-1a) = 6a -36 + 1a = -1 + 6a Solving -36 + 1a = -1 + 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. -36 + 1a + -6a = -1 + 6a + -6a Combine like terms: 1a + -6a = -5a -36 + -5a = -1 + 6a + -6a Combine like terms: 6a + -6a = 0 -36 + -5a = -1 + 0 -36 + -5a = -1 Add '36' to each side of the equation. -36 + 36 + -5a = -1 + 36 Combine like terms: -36 + 36 = 0 0 + -5a = -1 + 36 -5a = -1 + 36 Combine like terms: -1 + 36 = 35 -5a = 35 Divide each side by '-5'. a = -7 Simplifying a = -7
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