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Simplifying z + 4(2e + 3) = 15 Reorder the terms: z + 4(3 + 2e) = 15 z + (3 * 4 + 2e * 4) = 15 z + (12 + 8e) = 15 Reorder the terms: 12 + 8e + z = 15 Solving 12 + 8e + z = 15 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 8e + -12 + z = 15 + -12 Reorder the terms: 12 + -12 + 8e + z = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 8e + z = 15 + -12 8e + z = 15 + -12 Combine like terms: 15 + -12 = 3 8e + z = 3 Add '-1z' to each side of the equation. 8e + z + -1z = 3 + -1z Combine like terms: z + -1z = 0 8e + 0 = 3 + -1z 8e = 3 + -1z Divide each side by '8'. e = 0.375 + -0.125z Simplifying e = 0.375 + -0.125z
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