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Simplifying 5z + 4(5 + -1z) = (z + -1) + 13 5z + (5 * 4 + -1z * 4) = (z + -1) + 13 5z + (20 + -4z) = (z + -1) + 13 Reorder the terms: 20 + 5z + -4z = (z + -1) + 13 Combine like terms: 5z + -4z = 1z 20 + 1z = (z + -1) + 13 Reorder the terms: 20 + 1z = (-1 + z) + 13 Remove parenthesis around (-1 + z) 20 + 1z = -1 + z + 13 Reorder the terms: 20 + 1z = -1 + 13 + z Combine like terms: -1 + 13 = 12 20 + 1z = 12 + z Solving 20 + 1z = 12 + 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 + 1z + -1z = 12 + z + -1z Combine like terms: 1z + -1z = 0 20 + 0 = 12 + z + -1z 20 = 12 + z + -1z Combine like terms: z + -1z = 0 20 = 12 + 0 20 = 12 Add '-20' to each side of the equation. 20 + -20 = 12 + -20 Combine like terms: 20 + -20 = 0 0 = 12 + -20 Combine like terms: 12 + -20 = -8 0 = -8 Simplifying 0 = -8 Combine like terms: 0 + 8 = 8 8 = -8 + 8 Combine like terms: -8 + 8 = 0 8 = 0 The solution to this equation could not be determined.
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