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Simplifying -30 + 7z = -5(3z + 9) Reorder the terms: -30 + 7z = -5(9 + 3z) -30 + 7z = (9 * -5 + 3z * -5) -30 + 7z = (-45 + -15z) Solving -30 + 7z = -45 + -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. -30 + 7z + 15z = -45 + -15z + 15z Combine like terms: 7z + 15z = 22z -30 + 22z = -45 + -15z + 15z Combine like terms: -15z + 15z = 0 -30 + 22z = -45 + 0 -30 + 22z = -45 Add '30' to each side of the equation. -30 + 30 + 22z = -45 + 30 Combine like terms: -30 + 30 = 0 0 + 22z = -45 + 30 22z = -45 + 30 Combine like terms: -45 + 30 = -15 22z = -15 Divide each side by '22'. z = -0.6818181818 Simplifying z = -0.6818181818
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