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Simplifying 1 + -5(3z + 9) = 38 Reorder the terms: 1 + -5(9 + 3z) = 38 1 + (9 * -5 + 3z * -5) = 38 1 + (-45 + -15z) = 38 Combine like terms: 1 + -45 = -44 -44 + -15z = 38 Solving -44 + -15z = 38 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -15z = 38 + 44 Combine like terms: -44 + 44 = 0 0 + -15z = 38 + 44 -15z = 38 + 44 Combine like terms: 38 + 44 = 82 -15z = 82 Divide each side by '-15'. z = -5.466666667 Simplifying z = -5.466666667
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