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Simplifying -1(z + 6) + (4z + 1) = -4(z + 1) Reorder the terms: -1(6 + z) + (4z + 1) = -4(z + 1) (6 * -1 + z * -1) + (4z + 1) = -4(z + 1) (-6 + -1z) + (4z + 1) = -4(z + 1) Reorder the terms: -6 + -1z + (1 + 4z) = -4(z + 1) Remove parenthesis around (1 + 4z) -6 + -1z + 1 + 4z = -4(z + 1) Reorder the terms: -6 + 1 + -1z + 4z = -4(z + 1) Combine like terms: -6 + 1 = -5 -5 + -1z + 4z = -4(z + 1) Combine like terms: -1z + 4z = 3z -5 + 3z = -4(z + 1) Reorder the terms: -5 + 3z = -4(1 + z) -5 + 3z = (1 * -4 + z * -4) -5 + 3z = (-4 + -4z) Solving -5 + 3z = -4 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -5 + 3z + 4z = -4 + -4z + 4z Combine like terms: 3z + 4z = 7z -5 + 7z = -4 + -4z + 4z Combine like terms: -4z + 4z = 0 -5 + 7z = -4 + 0 -5 + 7z = -4 Add '5' to each side of the equation. -5 + 5 + 7z = -4 + 5 Combine like terms: -5 + 5 = 0 0 + 7z = -4 + 5 7z = -4 + 5 Combine like terms: -4 + 5 = 1 7z = 1 Divide each side by '7'. z = 0.1428571429 Simplifying z = 0.1428571429
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