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Simplifying 21z + -49 = z + -58 Reorder the terms: -49 + 21z = z + -58 Reorder the terms: -49 + 21z = -58 + z Solving -49 + 21z = -58 + 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. -49 + 21z + -1z = -58 + z + -1z Combine like terms: 21z + -1z = 20z -49 + 20z = -58 + z + -1z Combine like terms: z + -1z = 0 -49 + 20z = -58 + 0 -49 + 20z = -58 Add '49' to each side of the equation. -49 + 49 + 20z = -58 + 49 Combine like terms: -49 + 49 = 0 0 + 20z = -58 + 49 20z = -58 + 49 Combine like terms: -58 + 49 = -9 20z = -9 Divide each side by '20'. z = -0.45 Simplifying z = -0.45
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