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Simplifying 7(a + -5) = -6(4 + -1a) + -6 Reorder the terms: 7(-5 + a) = -6(4 + -1a) + -6 (-5 * 7 + a * 7) = -6(4 + -1a) + -6 (-35 + 7a) = -6(4 + -1a) + -6 -35 + 7a = (4 * -6 + -1a * -6) + -6 -35 + 7a = (-24 + 6a) + -6 Reorder the terms: -35 + 7a = -24 + -6 + 6a Combine like terms: -24 + -6 = -30 -35 + 7a = -30 + 6a Solving -35 + 7a = -30 + 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. -35 + 7a + -6a = -30 + 6a + -6a Combine like terms: 7a + -6a = 1a -35 + 1a = -30 + 6a + -6a Combine like terms: 6a + -6a = 0 -35 + 1a = -30 + 0 -35 + 1a = -30 Add '35' to each side of the equation. -35 + 35 + 1a = -30 + 35 Combine like terms: -35 + 35 = 0 0 + 1a = -30 + 35 1a = -30 + 35 Combine like terms: -30 + 35 = 5 1a = 5 Divide each side by '1'. a = 5 Simplifying a = 5
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