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Simplifying 9[7a + -3] = 45 + -9a Reorder the terms: 9[-3 + 7a] = 45 + -9a [-3 * 9 + 7a * 9] = 45 + -9a [-27 + 63a] = 45 + -9a Solving -27 + 63a = 45 + -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. -27 + 63a + 9a = 45 + -9a + 9a Combine like terms: 63a + 9a = 72a -27 + 72a = 45 + -9a + 9a Combine like terms: -9a + 9a = 0 -27 + 72a = 45 + 0 -27 + 72a = 45 Add '27' to each side of the equation. -27 + 27 + 72a = 45 + 27 Combine like terms: -27 + 27 = 0 0 + 72a = 45 + 27 72a = 45 + 27 Combine like terms: 45 + 27 = 72 72a = 72 Divide each side by '72'. a = 1 Simplifying a = 1
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