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