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Simplifying -7(-3a + 2) = -2a + 9(2a + -6) Reorder the terms: -7(2 + -3a) = -2a + 9(2a + -6) (2 * -7 + -3a * -7) = -2a + 9(2a + -6) (-14 + 21a) = -2a + 9(2a + -6) Reorder the terms: -14 + 21a = -2a + 9(-6 + 2a) -14 + 21a = -2a + (-6 * 9 + 2a * 9) -14 + 21a = -2a + (-54 + 18a) Reorder the terms: -14 + 21a = -54 + -2a + 18a Combine like terms: -2a + 18a = 16a -14 + 21a = -54 + 16a Solving -14 + 21a = -54 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -14 + 21a + -16a = -54 + 16a + -16a Combine like terms: 21a + -16a = 5a -14 + 5a = -54 + 16a + -16a Combine like terms: 16a + -16a = 0 -14 + 5a = -54 + 0 -14 + 5a = -54 Add '14' to each side of the equation. -14 + 14 + 5a = -54 + 14 Combine like terms: -14 + 14 = 0 0 + 5a = -54 + 14 5a = -54 + 14 Combine like terms: -54 + 14 = -40 5a = -40 Divide each side by '5'. a = -8 Simplifying a = -8
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