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Simplifying 7(z + 1) + -1(4 + 9z) = -3z Reorder the terms: 7(1 + z) + -1(4 + 9z) = -3z (1 * 7 + z * 7) + -1(4 + 9z) = -3z (7 + 7z) + -1(4 + 9z) = -3z 7 + 7z + (4 * -1 + 9z * -1) = -3z 7 + 7z + (-4 + -9z) = -3z Reorder the terms: 7 + -4 + 7z + -9z = -3z Combine like terms: 7 + -4 = 3 3 + 7z + -9z = -3z Combine like terms: 7z + -9z = -2z 3 + -2z = -3z Solving 3 + -2z = -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 3 + -2z + 3z = -3z + 3z Combine like terms: -2z + 3z = 1z 3 + 1z = -3z + 3z Combine like terms: -3z + 3z = 0 3 + 1z = 0 Add '-3' to each side of the equation. 3 + -3 + 1z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 0 + -3 1z = 0 + -3 Combine like terms: 0 + -3 = -3 1z = -3 Divide each side by '1'. z = -3 Simplifying z = -3
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