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Simplifying -7(3a + -6) = -32 Reorder the terms: -7(-6 + 3a) = -32 (-6 * -7 + 3a * -7) = -32 (42 + -21a) = -32 Solving 42 + -21a = -32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -21a = -32 + -42 Combine like terms: 42 + -42 = 0 0 + -21a = -32 + -42 -21a = -32 + -42 Combine like terms: -32 + -42 = -74 -21a = -74 Divide each side by '-21'. a = 3.523809524 Simplifying a = 3.523809524
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