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Simplifying 10(a + -9) = -117 Reorder the terms: 10(-9 + a) = -117 (-9 * 10 + a * 10) = -117 (-90 + 10a) = -117 Solving -90 + 10a = -117 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 10a = -117 + 90 Combine like terms: -90 + 90 = 0 0 + 10a = -117 + 90 10a = -117 + 90 Combine like terms: -117 + 90 = -27 10a = -27 Divide each side by '10'. a = -2.7 Simplifying a = -2.7