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Simplifying 4 + 18z + 10x + -6 = 10x + 16z + 6 Reorder the terms: 4 + -6 + 10x + 18z = 10x + 16z + 6 Combine like terms: 4 + -6 = -2 -2 + 10x + 18z = 10x + 16z + 6 Reorder the terms: -2 + 10x + 18z = 6 + 10x + 16z Add '-10x' to each side of the equation. -2 + 10x + -10x + 18z = 6 + 10x + -10x + 16z Combine like terms: 10x + -10x = 0 -2 + 0 + 18z = 6 + 10x + -10x + 16z -2 + 18z = 6 + 10x + -10x + 16z Combine like terms: 10x + -10x = 0 -2 + 18z = 6 + 0 + 16z -2 + 18z = 6 + 16z Solving -2 + 18z = 6 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. -2 + 18z + -16z = 6 + 16z + -16z Combine like terms: 18z + -16z = 2z -2 + 2z = 6 + 16z + -16z Combine like terms: 16z + -16z = 0 -2 + 2z = 6 + 0 -2 + 2z = 6 Add '2' to each side of the equation. -2 + 2 + 2z = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2z = 6 + 2 2z = 6 + 2 Combine like terms: 6 + 2 = 8 2z = 8 Divide each side by '2'. z = 4 Simplifying z = 4
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