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Simplifying 2(4 + 2z) + 10 = z (4 * 2 + 2z * 2) + 10 = z (8 + 4z) + 10 = z Reorder the terms: 8 + 10 + 4z = z Combine like terms: 8 + 10 = 18 18 + 4z = z Solving 18 + 4z = z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 18 + 4z + -1z = z + -1z Combine like terms: 4z + -1z = 3z 18 + 3z = z + -1z Combine like terms: z + -1z = 0 18 + 3z = 0 Add '-18' to each side of the equation. 18 + -18 + 3z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3z = 0 + -18 3z = 0 + -18 Combine like terms: 0 + -18 = -18 3z = -18 Divide each side by '3'. z = -6 Simplifying z = -6
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