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Simplifying 3(3a + -7) + -3(1 + -7a) = -54 Reorder the terms: 3(-7 + 3a) + -3(1 + -7a) = -54 (-7 * 3 + 3a * 3) + -3(1 + -7a) = -54 (-21 + 9a) + -3(1 + -7a) = -54 -21 + 9a + (1 * -3 + -7a * -3) = -54 -21 + 9a + (-3 + 21a) = -54 Reorder the terms: -21 + -3 + 9a + 21a = -54 Combine like terms: -21 + -3 = -24 -24 + 9a + 21a = -54 Combine like terms: 9a + 21a = 30a -24 + 30a = -54 Solving -24 + 30a = -54 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 30a = -54 + 24 Combine like terms: -24 + 24 = 0 0 + 30a = -54 + 24 30a = -54 + 24 Combine like terms: -54 + 24 = -30 30a = -30 Divide each side by '30'. a = -1 Simplifying a = -1
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