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Simplifying 9(2z + -2) + 13 = 3(y + 8) + 16 Reorder the terms: 9(-2 + 2z) + 13 = 3(y + 8) + 16 (-2 * 9 + 2z * 9) + 13 = 3(y + 8) + 16 (-18 + 18z) + 13 = 3(y + 8) + 16 Reorder the terms: -18 + 13 + 18z = 3(y + 8) + 16 Combine like terms: -18 + 13 = -5 -5 + 18z = 3(y + 8) + 16 Reorder the terms: -5 + 18z = 3(8 + y) + 16 -5 + 18z = (8 * 3 + y * 3) + 16 -5 + 18z = (24 + 3y) + 16 Reorder the terms: -5 + 18z = 24 + 16 + 3y Combine like terms: 24 + 16 = 40 -5 + 18z = 40 + 3y Solving -5 + 18z = 40 + 3y Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 18z = 40 + 5 + 3y Combine like terms: -5 + 5 = 0 0 + 18z = 40 + 5 + 3y 18z = 40 + 5 + 3y Combine like terms: 40 + 5 = 45 18z = 45 + 3y Divide each side by '18'. z = 2.5 + 0.1666666667y Simplifying z = 2.5 + 0.1666666667y
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