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Simplifying 10z + -3 = 14z + -15 Reorder the terms: -3 + 10z = 14z + -15 Reorder the terms: -3 + 10z = -15 + 14z Solving -3 + 10z = -15 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. -3 + 10z + -14z = -15 + 14z + -14z Combine like terms: 10z + -14z = -4z -3 + -4z = -15 + 14z + -14z Combine like terms: 14z + -14z = 0 -3 + -4z = -15 + 0 -3 + -4z = -15 Add '3' to each side of the equation. -3 + 3 + -4z = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -4z = -15 + 3 -4z = -15 + 3 Combine like terms: -15 + 3 = -12 -4z = -12 Divide each side by '-4'. z = 3 Simplifying z = 3
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