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Simplifying 5(z + 4) + -1(7z + -9) = -3z Reorder the terms: 5(4 + z) + -1(7z + -9) = -3z (4 * 5 + z * 5) + -1(7z + -9) = -3z (20 + 5z) + -1(7z + -9) = -3z Reorder the terms: 20 + 5z + -1(-9 + 7z) = -3z 20 + 5z + (-9 * -1 + 7z * -1) = -3z 20 + 5z + (9 + -7z) = -3z Reorder the terms: 20 + 9 + 5z + -7z = -3z Combine like terms: 20 + 9 = 29 29 + 5z + -7z = -3z Combine like terms: 5z + -7z = -2z 29 + -2z = -3z Solving 29 + -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. 29 + -2z + 3z = -3z + 3z Combine like terms: -2z + 3z = 1z 29 + 1z = -3z + 3z Combine like terms: -3z + 3z = 0 29 + 1z = 0 Add '-29' to each side of the equation. 29 + -29 + 1z = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 1z = 0 + -29 1z = 0 + -29 Combine like terms: 0 + -29 = -29 1z = -29 Divide each side by '1'. z = -29 Simplifying z = -29
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