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Simplifying 4z + -7 + 4(z + 1) = -1(5z + -5) Reorder the terms: 4z + -7 + 4(1 + z) = -1(5z + -5) 4z + -7 + (1 * 4 + z * 4) = -1(5z + -5) 4z + -7 + (4 + 4z) = -1(5z + -5) Reorder the terms: -7 + 4 + 4z + 4z = -1(5z + -5) Combine like terms: -7 + 4 = -3 -3 + 4z + 4z = -1(5z + -5) Combine like terms: 4z + 4z = 8z -3 + 8z = -1(5z + -5) Reorder the terms: -3 + 8z = -1(-5 + 5z) -3 + 8z = (-5 * -1 + 5z * -1) -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 = 13z -3 + 13z = 5 + -5z + 5z Combine like terms: -5z + 5z = 0 -3 + 13z = 5 + 0 -3 + 13z = 5 Add '3' to each side of the equation. -3 + 3 + 13z = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 13z = 5 + 3 13z = 5 + 3 Combine like terms: 5 + 3 = 8 13z = 8 Divide each side by '13'. z = 0.6153846154 Simplifying z = 0.6153846154
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