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Simplifying -9a + -21 = -6(9a + -4) Reorder the terms: -21 + -9a = -6(9a + -4) Reorder the terms: -21 + -9a = -6(-4 + 9a) -21 + -9a = (-4 * -6 + 9a * -6) -21 + -9a = (24 + -54a) Solving -21 + -9a = 24 + -54a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '54a' to each side of the equation. -21 + -9a + 54a = 24 + -54a + 54a Combine like terms: -9a + 54a = 45a -21 + 45a = 24 + -54a + 54a Combine like terms: -54a + 54a = 0 -21 + 45a = 24 + 0 -21 + 45a = 24 Add '21' to each side of the equation. -21 + 21 + 45a = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 45a = 24 + 21 45a = 24 + 21 Combine like terms: 24 + 21 = 45 45a = 45 Divide each side by '45'. a = 1 Simplifying a = 1
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