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Simplifying 9(3a + -7) = -32 + 6a Reorder the terms: 9(-7 + 3a) = -32 + 6a (-7 * 9 + 3a * 9) = -32 + 6a (-63 + 27a) = -32 + 6a Solving -63 + 27a = -32 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -63 + 27a + -6a = -32 + 6a + -6a Combine like terms: 27a + -6a = 21a -63 + 21a = -32 + 6a + -6a Combine like terms: 6a + -6a = 0 -63 + 21a = -32 + 0 -63 + 21a = -32 Add '63' to each side of the equation. -63 + 63 + 21a = -32 + 63 Combine like terms: -63 + 63 = 0 0 + 21a = -32 + 63 21a = -32 + 63 Combine like terms: -32 + 63 = 31 21a = 31 Divide each side by '21'. a = 1.476190476 Simplifying a = 1.476190476
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