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Simplifying -1(z + 7) + (2z + 1) = -4(z + 1) Reorder the terms: -1(7 + z) + (2z + 1) = -4(z + 1) (7 * -1 + z * -1) + (2z + 1) = -4(z + 1) (-7 + -1z) + (2z + 1) = -4(z + 1) Reorder the terms: -7 + -1z + (1 + 2z) = -4(z + 1) Remove parenthesis around (1 + 2z) -7 + -1z + 1 + 2z = -4(z + 1) Reorder the terms: -7 + 1 + -1z + 2z = -4(z + 1) Combine like terms: -7 + 1 = -6 -6 + -1z + 2z = -4(z + 1) Combine like terms: -1z + 2z = 1z -6 + 1z = -4(z + 1) Reorder the terms: -6 + 1z = -4(1 + z) -6 + 1z = (1 * -4 + z * -4) -6 + 1z = (-4 + -4z) Solving -6 + 1z = -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. -6 + 1z + 4z = -4 + -4z + 4z Combine like terms: 1z + 4z = 5z -6 + 5z = -4 + -4z + 4z Combine like terms: -4z + 4z = 0 -6 + 5z = -4 + 0 -6 + 5z = -4 Add '6' to each side of the equation. -6 + 6 + 5z = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 5z = -4 + 6 5z = -4 + 6 Combine like terms: -4 + 6 = 2 5z = 2 Divide each side by '5'. z = 0.4 Simplifying z = 0.4
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