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Simplifying 3(2z + 2) = 5(11 + -3x) Reorder the terms: 3(2 + 2z) = 5(11 + -3x) (2 * 3 + 2z * 3) = 5(11 + -3x) (6 + 6z) = 5(11 + -3x) 6 + 6z = (11 * 5 + -3x * 5) 6 + 6z = (55 + -15x) Solving 6 + 6z = 55 + -15x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6z = 55 + -6 + -15x Combine like terms: 6 + -6 = 0 0 + 6z = 55 + -6 + -15x 6z = 55 + -6 + -15x Combine like terms: 55 + -6 = 49 6z = 49 + -15x Divide each side by '6'. z = 8.166666667 + -2.5x Simplifying z = 8.166666667 + -2.5x
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