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Simplifying -2(4w + -1) + -1(a + 8) = -15 Reorder the terms: -2(-1 + 4w) + -1(a + 8) = -15 (-1 * -2 + 4w * -2) + -1(a + 8) = -15 (2 + -8w) + -1(a + 8) = -15 Reorder the terms: 2 + -8w + -1(8 + a) = -15 2 + -8w + (8 * -1 + a * -1) = -15 2 + -8w + (-8 + -1a) = -15 Reorder the terms: 2 + -8 + -1a + -8w = -15 Combine like terms: 2 + -8 = -6 -6 + -1a + -8w = -15 Solving -6 + -1a + -8w = -15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1a + 6 + -8w = -15 + 6 Reorder the terms: -6 + 6 + -1a + -8w = -15 + 6 Combine like terms: -6 + 6 = 0 0 + -1a + -8w = -15 + 6 -1a + -8w = -15 + 6 Combine like terms: -15 + 6 = -9 -1a + -8w = -9 Add '8w' to each side of the equation. -1a + -8w + 8w = -9 + 8w Combine like terms: -8w + 8w = 0 -1a + 0 = -9 + 8w -1a = -9 + 8w Divide each side by '-1'. a = 9 + -8w Simplifying a = 9 + -8w
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