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Simplifying 8z + 11 + 52 + -9 = 16 + -6(3 + -2z) + z Reorder the terms: 11 + 52 + -9 + 8z = 16 + -6(3 + -2z) + z Combine like terms: 11 + 52 = 63 63 + -9 + 8z = 16 + -6(3 + -2z) + z Combine like terms: 63 + -9 = 54 54 + 8z = 16 + -6(3 + -2z) + z 54 + 8z = 16 + (3 * -6 + -2z * -6) + z 54 + 8z = 16 + (-18 + 12z) + z Combine like terms: 16 + -18 = -2 54 + 8z = -2 + 12z + z Combine like terms: 12z + z = 13z 54 + 8z = -2 + 13z Solving 54 + 8z = -2 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. 54 + 8z + -13z = -2 + 13z + -13z Combine like terms: 8z + -13z = -5z 54 + -5z = -2 + 13z + -13z Combine like terms: 13z + -13z = 0 54 + -5z = -2 + 0 54 + -5z = -2 Add '-54' to each side of the equation. 54 + -54 + -5z = -2 + -54 Combine like terms: 54 + -54 = 0 0 + -5z = -2 + -54 -5z = -2 + -54 Combine like terms: -2 + -54 = -56 -5z = -56 Divide each side by '-5'. z = 11.2 Simplifying z = 11.2
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