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Simplifying 3z + 5(2 + -1z) = 2w + -10 3z + (2 * 5 + -1z * 5) = 2w + -10 3z + (10 + -5z) = 2w + -10 Reorder the terms: 10 + 3z + -5z = 2w + -10 Combine like terms: 3z + -5z = -2z 10 + -2z = 2w + -10 Reorder the terms: 10 + -2z = -10 + 2w Solving 10 + -2z = -10 + 2w Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2z = -10 + -10 + 2w Combine like terms: 10 + -10 = 0 0 + -2z = -10 + -10 + 2w -2z = -10 + -10 + 2w Combine like terms: -10 + -10 = -20 -2z = -20 + 2w Divide each side by '-2'. z = 10 + -1w Simplifying z = 10 + -1w
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