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Simplifying -1(6 + -6a) + -1(18 + 5a) + -5 = -1(7 + -6a) + (-1a) (6 * -1 + -6a * -1) + -1(18 + 5a) + -5 = -1(7 + -6a) + (-1a) (-6 + 6a) + -1(18 + 5a) + -5 = -1(7 + -6a) + (-1a) -6 + 6a + (18 * -1 + 5a * -1) + -5 = -1(7 + -6a) + (-1a) -6 + 6a + (-18 + -5a) + -5 = -1(7 + -6a) + (-1a) Reorder the terms: -6 + -18 + -5 + 6a + -5a = -1(7 + -6a) + (-1a) Combine like terms: -6 + -18 = -24 -24 + -5 + 6a + -5a = -1(7 + -6a) + (-1a) Combine like terms: -24 + -5 = -29 -29 + 6a + -5a = -1(7 + -6a) + (-1a) Combine like terms: 6a + -5a = 1a -29 + 1a = -1(7 + -6a) + (-1a) -29 + 1a = (7 * -1 + -6a * -1) + (-1a) -29 + 1a = (-7 + 6a) + (-1a) Combine like terms: 6a + (-1a) = 5a -29 + 1a = -7 + 5a Solving -29 + 1a = -7 + 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. -29 + 1a + -5a = -7 + 5a + -5a Combine like terms: 1a + -5a = -4a -29 + -4a = -7 + 5a + -5a Combine like terms: 5a + -5a = 0 -29 + -4a = -7 + 0 -29 + -4a = -7 Add '29' to each side of the equation. -29 + 29 + -4a = -7 + 29 Combine like terms: -29 + 29 = 0 0 + -4a = -7 + 29 -4a = -7 + 29 Combine like terms: -7 + 29 = 22 -4a = 22 Divide each side by '-4'. a = -5.5 Simplifying a = -5.5
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