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Simplifying 5Z + 13 = 2(Z + -1) Reorder the terms: 13 + 5Z = 2(Z + -1) Reorder the terms: 13 + 5Z = 2(-1 + Z) 13 + 5Z = (-1 * 2 + Z * 2) 13 + 5Z = (-2 + 2Z) Solving 13 + 5Z = -2 + 2Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-2Z' to each side of the equation. 13 + 5Z + -2Z = -2 + 2Z + -2Z Combine like terms: 5Z + -2Z = 3Z 13 + 3Z = -2 + 2Z + -2Z Combine like terms: 2Z + -2Z = 0 13 + 3Z = -2 + 0 13 + 3Z = -2 Add '-13' to each side of the equation. 13 + -13 + 3Z = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 3Z = -2 + -13 3Z = -2 + -13 Combine like terms: -2 + -13 = -15 3Z = -15 Divide each side by '3'. Z = -5 Simplifying Z = -5
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