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Simplifying z(a + -4) + 15 = 13 Reorder the terms: z(-4 + a) + 15 = 13 (-4 * z + a * z) + 15 = 13 Reorder the terms: (az + -4z) + 15 = 13 (az + -4z) + 15 = 13 Reorder the terms: 15 + az + -4z = 13 Solving 15 + az + -4z = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + az + -15 + -4z = 13 + -15 Reorder the terms: 15 + -15 + az + -4z = 13 + -15 Combine like terms: 15 + -15 = 0 0 + az + -4z = 13 + -15 az + -4z = 13 + -15 Combine like terms: 13 + -15 = -2 az + -4z = -2 Add '4z' to each side of the equation. az + -4z + 4z = -2 + 4z Combine like terms: -4z + 4z = 0 az + 0 = -2 + 4z az = -2 + 4z Divide each side by 'z'. a = -2z-1 + 4 Simplifying a = -2z-1 + 4 Reorder the terms: a = 4 + -2z-1
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