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Simplifying -1(z + 4) + (4z + 1) = -2(z + 1) Reorder the terms: -1(4 + z) + (4z + 1) = -2(z + 1) (4 * -1 + z * -1) + (4z + 1) = -2(z + 1) (-4 + -1z) + (4z + 1) = -2(z + 1) Reorder the terms: -4 + -1z + (1 + 4z) = -2(z + 1) Remove parenthesis around (1 + 4z) -4 + -1z + 1 + 4z = -2(z + 1) Reorder the terms: -4 + 1 + -1z + 4z = -2(z + 1) Combine like terms: -4 + 1 = -3 -3 + -1z + 4z = -2(z + 1) Combine like terms: -1z + 4z = 3z -3 + 3z = -2(z + 1) Reorder the terms: -3 + 3z = -2(1 + z) -3 + 3z = (1 * -2 + z * -2) -3 + 3z = (-2 + -2z) Solving -3 + 3z = -2 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -3 + 3z + 2z = -2 + -2z + 2z Combine like terms: 3z + 2z = 5z -3 + 5z = -2 + -2z + 2z Combine like terms: -2z + 2z = 0 -3 + 5z = -2 + 0 -3 + 5z = -2 Add '3' to each side of the equation. -3 + 3 + 5z = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 5z = -2 + 3 5z = -2 + 3 Combine like terms: -2 + 3 = 1 5z = 1 Divide each side by '5'. z = 0.2 Simplifying z = 0.2
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