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Simplifying 2z + 10 = 4z + -6 Reorder the terms: 10 + 2z = 4z + -6 Reorder the terms: 10 + 2z = -6 + 4z Solving 10 + 2z = -6 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 10 + 2z + -4z = -6 + 4z + -4z Combine like terms: 2z + -4z = -2z 10 + -2z = -6 + 4z + -4z Combine like terms: 4z + -4z = 0 10 + -2z = -6 + 0 10 + -2z = -6 Add '-10' to each side of the equation. 10 + -10 + -2z = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -2z = -6 + -10 -2z = -6 + -10 Combine like terms: -6 + -10 = -16 -2z = -16 Divide each side by '-2'. z = 8 Simplifying z = 8
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