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Simplifying 2(5 + -3a) + -4(a + 7) = 92 (5 * 2 + -3a * 2) + -4(a + 7) = 92 (10 + -6a) + -4(a + 7) = 92 Reorder the terms: 10 + -6a + -4(7 + a) = 92 10 + -6a + (7 * -4 + a * -4) = 92 10 + -6a + (-28 + -4a) = 92 Reorder the terms: 10 + -28 + -6a + -4a = 92 Combine like terms: 10 + -28 = -18 -18 + -6a + -4a = 92 Combine like terms: -6a + -4a = -10a -18 + -10a = 92 Solving -18 + -10a = 92 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -10a = 92 + 18 Combine like terms: -18 + 18 = 0 0 + -10a = 92 + 18 -10a = 92 + 18 Combine like terms: 92 + 18 = 110 -10a = 110 Divide each side by '-10'. a = -11 Simplifying a = -11
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