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Simplifying 5(z + 1) + -1(7z + -4) + -3z = 0 Reorder the terms: 5(1 + z) + -1(7z + -4) + -3z = 0 (1 * 5 + z * 5) + -1(7z + -4) + -3z = 0 (5 + 5z) + -1(7z + -4) + -3z = 0 Reorder the terms: 5 + 5z + -1(-4 + 7z) + -3z = 0 5 + 5z + (-4 * -1 + 7z * -1) + -3z = 0 5 + 5z + (4 + -7z) + -3z = 0 Reorder the terms: 5 + 4 + 5z + -7z + -3z = 0 Combine like terms: 5 + 4 = 9 9 + 5z + -7z + -3z = 0 Combine like terms: 5z + -7z = -2z 9 + -2z + -3z = 0 Combine like terms: -2z + -3z = -5z 9 + -5z = 0 Solving 9 + -5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5z = 0 + -9 -5z = 0 + -9 Combine like terms: 0 + -9 = -9 -5z = -9 Divide each side by '-5'. z = 1.8 Simplifying z = 1.8
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