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Simplifying -1(7 + -5a) + -1(14 + 4a) + -15 = -1(5 + -7a) + (-1a) + 4 (7 * -1 + -5a * -1) + -1(14 + 4a) + -15 = -1(5 + -7a) + (-1a) + 4 (-7 + 5a) + -1(14 + 4a) + -15 = -1(5 + -7a) + (-1a) + 4 -7 + 5a + (14 * -1 + 4a * -1) + -15 = -1(5 + -7a) + (-1a) + 4 -7 + 5a + (-14 + -4a) + -15 = -1(5 + -7a) + (-1a) + 4 Reorder the terms: -7 + -14 + -15 + 5a + -4a = -1(5 + -7a) + (-1a) + 4 Combine like terms: -7 + -14 = -21 -21 + -15 + 5a + -4a = -1(5 + -7a) + (-1a) + 4 Combine like terms: -21 + -15 = -36 -36 + 5a + -4a = -1(5 + -7a) + (-1a) + 4 Combine like terms: 5a + -4a = 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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