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Simplifying -5z + -13z + 10 = 10 + 7z + 3 Reorder the terms: 10 + -5z + -13z = 10 + 7z + 3 Combine like terms: -5z + -13z = -18z 10 + -18z = 10 + 7z + 3 Reorder the terms: 10 + -18z = 10 + 3 + 7z Combine like terms: 10 + 3 = 13 10 + -18z = 13 + 7z Solving 10 + -18z = 13 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 10 + -18z + -7z = 13 + 7z + -7z Combine like terms: -18z + -7z = -25z 10 + -25z = 13 + 7z + -7z Combine like terms: 7z + -7z = 0 10 + -25z = 13 + 0 10 + -25z = 13 Add '-10' to each side of the equation. 10 + -10 + -25z = 13 + -10 Combine like terms: 10 + -10 = 0 0 + -25z = 13 + -10 -25z = 13 + -10 Combine like terms: 13 + -10 = 3 -25z = 3 Divide each side by '-25'. z = -0.12 Simplifying z = -0.12
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