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Simplifying -6(a + 5) = -38 + -5a Reorder the terms: -6(5 + a) = -38 + -5a (5 * -6 + a * -6) = -38 + -5a (-30 + -6a) = -38 + -5a Solving -30 + -6a = -38 + -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. -30 + -6a + 5a = -38 + -5a + 5a Combine like terms: -6a + 5a = -1a -30 + -1a = -38 + -5a + 5a Combine like terms: -5a + 5a = 0 -30 + -1a = -38 + 0 -30 + -1a = -38 Add '30' to each side of the equation. -30 + 30 + -1a = -38 + 30 Combine like terms: -30 + 30 = 0 0 + -1a = -38 + 30 -1a = -38 + 30 Combine like terms: -38 + 30 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8
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