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Simplifying 9(-10 + -9a) = 3 + -12(3a + -11) (-10 * 9 + -9a * 9) = 3 + -12(3a + -11) (-90 + -81a) = 3 + -12(3a + -11) Reorder the terms: -90 + -81a = 3 + -12(-11 + 3a) -90 + -81a = 3 + (-11 * -12 + 3a * -12) -90 + -81a = 3 + (132 + -36a) Combine like terms: 3 + 132 = 135 -90 + -81a = 135 + -36a Solving -90 + -81a = 135 + -36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '36a' to each side of the equation. -90 + -81a + 36a = 135 + -36a + 36a Combine like terms: -81a + 36a = -45a -90 + -45a = 135 + -36a + 36a Combine like terms: -36a + 36a = 0 -90 + -45a = 135 + 0 -90 + -45a = 135 Add '90' to each side of the equation. -90 + 90 + -45a = 135 + 90 Combine like terms: -90 + 90 = 0 0 + -45a = 135 + 90 -45a = 135 + 90 Combine like terms: 135 + 90 = 225 -45a = 225 Divide each side by '-45'. a = -5 Simplifying a = -5
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