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Simplifying 4z + 10 + -1z = 4 + 2z + -7 Reorder the terms: 10 + 4z + -1z = 4 + 2z + -7 Combine like terms: 4z + -1z = 3z 10 + 3z = 4 + 2z + -7 Reorder the terms: 10 + 3z = 4 + -7 + 2z Combine like terms: 4 + -7 = -3 10 + 3z = -3 + 2z Solving 10 + 3z = -3 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 10 + 3z + -2z = -3 + 2z + -2z Combine like terms: 3z + -2z = 1z 10 + 1z = -3 + 2z + -2z Combine like terms: 2z + -2z = 0 10 + 1z = -3 + 0 10 + 1z = -3 Add '-10' to each side of the equation. 10 + -10 + 1z = -3 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = -3 + -10 1z = -3 + -10 Combine like terms: -3 + -10 = -13 1z = -13 Divide each side by '1'. z = -13 Simplifying z = -13
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