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Simplifying 2(4z + 2) + -14 = z + 8 + -2z Reorder the terms: 2(2 + 4z) + -14 = z + 8 + -2z (2 * 2 + 4z * 2) + -14 = z + 8 + -2z (4 + 8z) + -14 = z + 8 + -2z Reorder the terms: 4 + -14 + 8z = z + 8 + -2z Combine like terms: 4 + -14 = -10 -10 + 8z = z + 8 + -2z Reorder the terms: -10 + 8z = 8 + z + -2z Combine like terms: z + -2z = -1z -10 + 8z = 8 + -1z Solving -10 + 8z = 8 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -10 + 8z + z = 8 + -1z + z Combine like terms: 8z + z = 9z -10 + 9z = 8 + -1z + z Combine like terms: -1z + z = 0 -10 + 9z = 8 + 0 -10 + 9z = 8 Add '10' to each side of the equation. -10 + 10 + 9z = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 9z = 8 + 10 9z = 8 + 10 Combine like terms: 8 + 10 = 18 9z = 18 Divide each side by '9'. z = 2 Simplifying z = 2
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