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Simplifying 2(5 + -3a) + -4(9 + 7) = 92 (5 * 2 + -3a * 2) + -4(9 + 7) = 92 (10 + -6a) + -4(9 + 7) = 92 Combine like terms: 9 + 7 = 16 10 + -6a + -4(16) = 92 Multiply -4 * 16 10 + -6a + -64 = 92 Reorder the terms: 10 + -64 + -6a = 92 Combine like terms: 10 + -64 = -54 -54 + -6a = 92 Solving -54 + -6a = 92 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -6a = 92 + 54 Combine like terms: -54 + 54 = 0 0 + -6a = 92 + 54 -6a = 92 + 54 Combine like terms: 92 + 54 = 146 -6a = 146 Divide each side by '-6'. a = -24.33333333 Simplifying a = -24.33333333
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