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Simplifying -5(a + 6) = -14 + -7a Reorder the terms: -5(6 + a) = -14 + -7a (6 * -5 + a * -5) = -14 + -7a (-30 + -5a) = -14 + -7a Solving -30 + -5a = -14 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -30 + -5a + 7a = -14 + -7a + 7a Combine like terms: -5a + 7a = 2a -30 + 2a = -14 + -7a + 7a Combine like terms: -7a + 7a = 0 -30 + 2a = -14 + 0 -30 + 2a = -14 Add '30' to each side of the equation. -30 + 30 + 2a = -14 + 30 Combine like terms: -30 + 30 = 0 0 + 2a = -14 + 30 2a = -14 + 30 Combine like terms: -14 + 30 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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