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Simplifying -30 = -5 + 7(z + -9) Reorder the terms: -30 = -5 + 7(-9 + z) -30 = -5 + (-9 * 7 + z * 7) -30 = -5 + (-63 + 7z) Combine like terms: -5 + -63 = -68 -30 = -68 + 7z Solving -30 = -68 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -30 + -7z = -68 + 7z + -7z Combine like terms: 7z + -7z = 0 -30 + -7z = -68 + 0 -30 + -7z = -68 Add '30' to each side of the equation. -30 + 30 + -7z = -68 + 30 Combine like terms: -30 + 30 = 0 0 + -7z = -68 + 30 -7z = -68 + 30 Combine like terms: -68 + 30 = -38 -7z = -38 Divide each side by '-7'. z = 5.428571429 Simplifying z = 5.428571429
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