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Simplifying z + -1 = 4(7z + -4) Reorder the terms: -1 + z = 4(7z + -4) Reorder the terms: -1 + z = 4(-4 + 7z) -1 + z = (-4 * 4 + 7z * 4) -1 + z = (-16 + 28z) Solving -1 + z = -16 + 28z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-28z' to each side of the equation. -1 + z + -28z = -16 + 28z + -28z Combine like terms: z + -28z = -27z -1 + -27z = -16 + 28z + -28z Combine like terms: 28z + -28z = 0 -1 + -27z = -16 + 0 -1 + -27z = -16 Add '1' to each side of the equation. -1 + 1 + -27z = -16 + 1 Combine like terms: -1 + 1 = 0 0 + -27z = -16 + 1 -27z = -16 + 1 Combine like terms: -16 + 1 = -15 -27z = -15 Divide each side by '-27'. z = 0.5555555556 Simplifying z = 0.5555555556
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