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Simplifying 4 + -1(z + 4) + -5z + 3 = z + 17 Reorder the terms: 4 + -1(4 + z) + -5z + 3 = z + 17 4 + (4 * -1 + z * -1) + -5z + 3 = z + 17 4 + (-4 + -1z) + -5z + 3 = z + 17 Reorder the terms: 4 + -4 + 3 + -1z + -5z = z + 17 Combine like terms: 4 + -4 = 0 0 + 3 + -1z + -5z = z + 17 3 + -1z + -5z = z + 17 Combine like terms: -1z + -5z = -6z 3 + -6z = z + 17 Reorder the terms: 3 + -6z = 17 + z Solving 3 + -6z = 17 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 3 + -6z + -1z = 17 + z + -1z Combine like terms: -6z + -1z = -7z 3 + -7z = 17 + z + -1z Combine like terms: z + -1z = 0 3 + -7z = 17 + 0 3 + -7z = 17 Add '-3' to each side of the equation. 3 + -3 + -7z = 17 + -3 Combine like terms: 3 + -3 = 0 0 + -7z = 17 + -3 -7z = 17 + -3 Combine like terms: 17 + -3 = 14 -7z = 14 Divide each side by '-7'. z = -2 Simplifying z = -2
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