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Simplifying z + -14 + z + -6 = z + 48 Reorder the terms: -14 + -6 + z + z = z + 48 Combine like terms: -14 + -6 = -20 -20 + z + z = z + 48 Combine like terms: z + z = 2z -20 + 2z = z + 48 Reorder the terms: -20 + 2z = 48 + z Solving -20 + 2z = 48 + 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. -20 + 2z + -1z = 48 + z + -1z Combine like terms: 2z + -1z = 1z -20 + 1z = 48 + z + -1z Combine like terms: z + -1z = 0 -20 + 1z = 48 + 0 -20 + 1z = 48 Add '20' to each side of the equation. -20 + 20 + 1z = 48 + 20 Combine like terms: -20 + 20 = 0 0 + 1z = 48 + 20 1z = 48 + 20 Combine like terms: 48 + 20 = 68 1z = 68 Divide each side by '1'. z = 68 Simplifying z = 68
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