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Simplifying 100z + -4 = 51z + 3 Reorder the terms: -4 + 100z = 51z + 3 Reorder the terms: -4 + 100z = 3 + 51z Solving -4 + 100z = 3 + 51z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-51z' to each side of the equation. -4 + 100z + -51z = 3 + 51z + -51z Combine like terms: 100z + -51z = 49z -4 + 49z = 3 + 51z + -51z Combine like terms: 51z + -51z = 0 -4 + 49z = 3 + 0 -4 + 49z = 3 Add '4' to each side of the equation. -4 + 4 + 49z = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 49z = 3 + 4 49z = 3 + 4 Combine like terms: 3 + 4 = 7 49z = 7 Divide each side by '49'. z = 0.1428571429 Simplifying z = 0.1428571429
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