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Simplifying 7z + -5 + -5(z + 1) = -1(4z + 7) Reorder the terms: 7z + -5 + -5(1 + z) = -1(4z + 7) 7z + -5 + (1 * -5 + z * -5) = -1(4z + 7) 7z + -5 + (-5 + -5z) = -1(4z + 7) Reorder the terms: -5 + -5 + 7z + -5z = -1(4z + 7) Combine like terms: -5 + -5 = -10 -10 + 7z + -5z = -1(4z + 7) Combine like terms: 7z + -5z = 2z -10 + 2z = -1(4z + 7) Reorder the terms: -10 + 2z = -1(7 + 4z) -10 + 2z = (7 * -1 + 4z * -1) -10 + 2z = (-7 + -4z) Solving -10 + 2z = -7 + -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. -10 + 2z + 4z = -7 + -4z + 4z Combine like terms: 2z + 4z = 6z -10 + 6z = -7 + -4z + 4z Combine like terms: -4z + 4z = 0 -10 + 6z = -7 + 0 -10 + 6z = -7 Add '10' to each side of the equation. -10 + 10 + 6z = -7 + 10 Combine like terms: -10 + 10 = 0 0 + 6z = -7 + 10 6z = -7 + 10 Combine like terms: -7 + 10 = 3 6z = 3 Divide each side by '6'. z = 0.5 Simplifying z = 0.5
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