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Simplifying 9(z + -10) = -4z + -10 Reorder the terms: 9(-10 + z) = -4z + -10 (-10 * 9 + z * 9) = -4z + -10 (-90 + 9z) = -4z + -10 Reorder the terms: -90 + 9z = -10 + -4z Solving -90 + 9z = -10 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -90 + 9z + 4z = -10 + -4z + 4z Combine like terms: 9z + 4z = 13z -90 + 13z = -10 + -4z + 4z Combine like terms: -4z + 4z = 0 -90 + 13z = -10 + 0 -90 + 13z = -10 Add '90' to each side of the equation. -90 + 90 + 13z = -10 + 90 Combine like terms: -90 + 90 = 0 0 + 13z = -10 + 90 13z = -10 + 90 Combine like terms: -10 + 90 = 80 13z = 80 Divide each side by '13'. z = 6.153846154 Simplifying z = 6.153846154
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