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Simplifying 3z + 4 = 5z + -10 Reorder the terms: 4 + 3z = 5z + -10 Reorder the terms: 4 + 3z = -10 + 5z Solving 4 + 3z = -10 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 4 + 3z + -5z = -10 + 5z + -5z Combine like terms: 3z + -5z = -2z 4 + -2z = -10 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + -2z = -10 + 0 4 + -2z = -10 Add '-4' to each side of the equation. 4 + -4 + -2z = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -2z = -10 + -4 -2z = -10 + -4 Combine like terms: -10 + -4 = -14 -2z = -14 Divide each side by '-2'. z = 7 Simplifying z = 7
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