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Simplifying 10z + -93 = 4z + -45 Reorder the terms: -93 + 10z = 4z + -45 Reorder the terms: -93 + 10z = -45 + 4z Solving -93 + 10z = -45 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -93 + 10z + -4z = -45 + 4z + -4z Combine like terms: 10z + -4z = 6z -93 + 6z = -45 + 4z + -4z Combine like terms: 4z + -4z = 0 -93 + 6z = -45 + 0 -93 + 6z = -45 Add '93' to each side of the equation. -93 + 93 + 6z = -45 + 93 Combine like terms: -93 + 93 = 0 0 + 6z = -45 + 93 6z = -45 + 93 Combine like terms: -45 + 93 = 48 6z = 48 Divide each side by '6'. z = 8 Simplifying z = 8
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