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Simplifying 3z + -13 = 10z + -48 Reorder the terms: -13 + 3z = 10z + -48 Reorder the terms: -13 + 3z = -48 + 10z Solving -13 + 3z = -48 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -13 + 3z + -10z = -48 + 10z + -10z Combine like terms: 3z + -10z = -7z -13 + -7z = -48 + 10z + -10z Combine like terms: 10z + -10z = 0 -13 + -7z = -48 + 0 -13 + -7z = -48 Add '13' to each side of the equation. -13 + 13 + -7z = -48 + 13 Combine like terms: -13 + 13 = 0 0 + -7z = -48 + 13 -7z = -48 + 13 Combine like terms: -48 + 13 = -35 -7z = -35 Divide each side by '-7'. z = 5 Simplifying z = 5
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