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Simplifying 9(10 + -4a) + -9a = -54 + -9a (10 * 9 + -4a * 9) + -9a = -54 + -9a (90 + -36a) + -9a = -54 + -9a Combine like terms: -36a + -9a = -45a 90 + -45a = -54 + -9a Solving 90 + -45a = -54 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. 90 + -45a + 9a = -54 + -9a + 9a Combine like terms: -45a + 9a = -36a 90 + -36a = -54 + -9a + 9a Combine like terms: -9a + 9a = 0 90 + -36a = -54 + 0 90 + -36a = -54 Add '-90' to each side of the equation. 90 + -90 + -36a = -54 + -90 Combine like terms: 90 + -90 = 0 0 + -36a = -54 + -90 -36a = -54 + -90 Combine like terms: -54 + -90 = -144 -36a = -144 Divide each side by '-36'. a = 4 Simplifying a = 4
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