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Simplifying -1(7 + -7a) + -1(12 + 6a) + -14 = -1(4 + -6a) + (-1a) + 3 (7 * -1 + -7a * -1) + -1(12 + 6a) + -14 = -1(4 + -6a) + (-1a) + 3 (-7 + 7a) + -1(12 + 6a) + -14 = -1(4 + -6a) + (-1a) + 3 -7 + 7a + (12 * -1 + 6a * -1) + -14 = -1(4 + -6a) + (-1a) + 3 -7 + 7a + (-12 + -6a) + -14 = -1(4 + -6a) + (-1a) + 3 Reorder the terms: -7 + -12 + -14 + 7a + -6a = -1(4 + -6a) + (-1a) + 3 Combine like terms: -7 + -12 = -19 -19 + -14 + 7a + -6a = -1(4 + -6a) + (-1a) + 3 Combine like terms: -19 + -14 = -33 -33 + 7a + -6a = -1(4 + -6a) + (-1a) + 3 Combine like terms: 7a + -6a = 1a -33 + 1a = -1(4 + -6a) + (-1a) + 3 -33 + 1a = (4 * -1 + -6a * -1) + (-1a) + 3 -33 + 1a = (-4 + 6a) + (-1a) + 3 Reorder the terms: -33 + 1a = -4 + 3 + 6a + (-1a) Combine like terms: -4 + 3 = -1 -33 + 1a = -1 + 6a + (-1a) Combine like terms: 6a + (-1a) = 5a -33 + 1a = -1 + 5a Solving -33 + 1a = -1 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -33 + 1a + -5a = -1 + 5a + -5a Combine like terms: 1a + -5a = -4a -33 + -4a = -1 + 5a + -5a Combine like terms: 5a + -5a = 0 -33 + -4a = -1 + 0 -33 + -4a = -1 Add '33' to each side of the equation. -33 + 33 + -4a = -1 + 33 Combine like terms: -33 + 33 = 0 0 + -4a = -1 + 33 -4a = -1 + 33 Combine like terms: -1 + 33 = 32 -4a = 32 Divide each side by '-4'. a = -8 Simplifying a = -8
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