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Simplifying 30 + -1(4z + -7) = 17 Reorder the terms: 30 + -1(-7 + 4z) = 17 30 + (-7 * -1 + 4z * -1) = 17 30 + (7 + -4z) = 17 Combine like terms: 30 + 7 = 37 37 + -4z = 17 Solving 37 + -4z = 17 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -4z = 17 + -37 Combine like terms: 37 + -37 = 0 0 + -4z = 17 + -37 -4z = 17 + -37 Combine like terms: 17 + -37 = -20 -4z = -20 Divide each side by '-4'. z = 5 Simplifying z = 5
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