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Simplifying 5(4Z + -1) + -4(Z + 4) = 13(Z + 1) Reorder the terms: 5(-1 + 4Z) + -4(Z + 4) = 13(Z + 1) (-1 * 5 + 4Z * 5) + -4(Z + 4) = 13(Z + 1) (-5 + 20Z) + -4(Z + 4) = 13(Z + 1) Reorder the terms: -5 + 20Z + -4(4 + Z) = 13(Z + 1) -5 + 20Z + (4 * -4 + Z * -4) = 13(Z + 1) -5 + 20Z + (-16 + -4Z) = 13(Z + 1) Reorder the terms: -5 + -16 + 20Z + -4Z = 13(Z + 1) Combine like terms: -5 + -16 = -21 -21 + 20Z + -4Z = 13(Z + 1) Combine like terms: 20Z + -4Z = 16Z -21 + 16Z = 13(Z + 1) Reorder the terms: -21 + 16Z = 13(1 + Z) -21 + 16Z = (1 * 13 + Z * 13) -21 + 16Z = (13 + 13Z) Solving -21 + 16Z = 13 + 13Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-13Z' to each side of the equation. -21 + 16Z + -13Z = 13 + 13Z + -13Z Combine like terms: 16Z + -13Z = 3Z -21 + 3Z = 13 + 13Z + -13Z Combine like terms: 13Z + -13Z = 0 -21 + 3Z = 13 + 0 -21 + 3Z = 13 Add '21' to each side of the equation. -21 + 21 + 3Z = 13 + 21 Combine like terms: -21 + 21 = 0 0 + 3Z = 13 + 21 3Z = 13 + 21 Combine like terms: 13 + 21 = 34 3Z = 34 Divide each side by '3'. Z = 11.33333333 Simplifying Z = 11.33333333
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