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Simplifying 4z + 5 + 5z + -6 = 10y + 7 + 12y + -7 Reorder the terms: 5 + -6 + 4z + 5z = 10y + 7 + 12y + -7 Combine like terms: 5 + -6 = -1 -1 + 4z + 5z = 10y + 7 + 12y + -7 Combine like terms: 4z + 5z = 9z -1 + 9z = 10y + 7 + 12y + -7 Reorder the terms: -1 + 9z = 7 + -7 + 10y + 12y Combine like terms: 7 + -7 = 0 -1 + 9z = 0 + 10y + 12y -1 + 9z = 10y + 12y Combine like terms: 10y + 12y = 22y -1 + 9z = 22y Solving -1 + 9z = 22y Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 9z = 1 + 22y Combine like terms: -1 + 1 = 0 0 + 9z = 1 + 22y 9z = 1 + 22y Divide each side by '9'. z = 0.1111111111 + 2.444444444y Simplifying z = 0.1111111111 + 2.444444444y
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