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Simplifying 2(8 + -7a) + -6(a + 5) = -74 (8 * 2 + -7a * 2) + -6(a + 5) = -74 (16 + -14a) + -6(a + 5) = -74 Reorder the terms: 16 + -14a + -6(5 + a) = -74 16 + -14a + (5 * -6 + a * -6) = -74 16 + -14a + (-30 + -6a) = -74 Reorder the terms: 16 + -30 + -14a + -6a = -74 Combine like terms: 16 + -30 = -14 -14 + -14a + -6a = -74 Combine like terms: -14a + -6a = -20a -14 + -20a = -74 Solving -14 + -20a = -74 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -20a = -74 + 14 Combine like terms: -14 + 14 = 0 0 + -20a = -74 + 14 -20a = -74 + 14 Combine like terms: -74 + 14 = -60 -20a = -60 Divide each side by '-20'. a = 3 Simplifying a = 3
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