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Simplifying 5 + -3z + -18 = z + -1 + 82 Reorder the terms: 5 + -18 + -3z = z + -1 + 82 Combine like terms: 5 + -18 = -13 -13 + -3z = z + -1 + 82 Reorder the terms: -13 + -3z = -1 + 82 + z Combine like terms: -1 + 82 = 81 -13 + -3z = 81 + z Solving -13 + -3z = 81 + 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. -13 + -3z + -1z = 81 + z + -1z Combine like terms: -3z + -1z = -4z -13 + -4z = 81 + z + -1z Combine like terms: z + -1z = 0 -13 + -4z = 81 + 0 -13 + -4z = 81 Add '13' to each side of the equation. -13 + 13 + -4z = 81 + 13 Combine like terms: -13 + 13 = 0 0 + -4z = 81 + 13 -4z = 81 + 13 Combine like terms: 81 + 13 = 94 -4z = 94 Divide each side by '-4'. z = -23.5 Simplifying z = -23.5
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