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Simplifying 4z + -7 + 4(z + 1) = (5z + -5) Reorder the terms: 4z + -7 + 4(1 + z) = (5z + -5) 4z + -7 + (1 * 4 + z * 4) = (5z + -5) 4z + -7 + (4 + 4z) = (5z + -5) Reorder the terms: -7 + 4 + 4z + 4z = (5z + -5) Combine like terms: -7 + 4 = -3 -3 + 4z + 4z = (5z + -5) Combine like terms: 4z + 4z = 8z -3 + 8z = (5z + -5) Reorder the terms: -3 + 8z = (-5 + 5z) Remove parenthesis around (-5 + 5z) -3 + 8z = -5 + 5z Solving -3 + 8z = -5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -3 + 8z + -5z = -5 + 5z + -5z Combine like terms: 8z + -5z = 3z -3 + 3z = -5 + 5z + -5z Combine like terms: 5z + -5z = 0 -3 + 3z = -5 + 0 -3 + 3z = -5 Add '3' to each side of the equation. -3 + 3 + 3z = -5 + 3 Combine like terms: -3 + 3 = 0 0 + 3z = -5 + 3 3z = -5 + 3 Combine like terms: -5 + 3 = -2 3z = -2 Divide each side by '3'. z = -0.6666666667 Simplifying z = -0.6666666667
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