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Simplifying 8(z + 2) + -3(z + -3) = 2(Z + -1) + 2(Z + -2) Reorder the terms: 8(2 + z) + -3(z + -3) = 2(Z + -1) + 2(Z + -2) (2 * 8 + z * 8) + -3(z + -3) = 2(Z + -1) + 2(Z + -2) (16 + 8z) + -3(z + -3) = 2(Z + -1) + 2(Z + -2) Reorder the terms: 16 + 8z + -3(-3 + z) = 2(Z + -1) + 2(Z + -2) 16 + 8z + (-3 * -3 + z * -3) = 2(Z + -1) + 2(Z + -2) 16 + 8z + (9 + -3z) = 2(Z + -1) + 2(Z + -2) Reorder the terms: 16 + 9 + 8z + -3z = 2(Z + -1) + 2(Z + -2) Combine like terms: 16 + 9 = 25 25 + 8z + -3z = 2(Z + -1) + 2(Z + -2) Combine like terms: 8z + -3z = 5z 25 + 5z = 2(Z + -1) + 2(Z + -2) Reorder the terms: 25 + 5z = 2(-1 + Z) + 2(Z + -2) 25 + 5z = (-1 * 2 + Z * 2) + 2(Z + -2) 25 + 5z = (-2 + 2Z) + 2(Z + -2) Reorder the terms: 25 + 5z = -2 + 2Z + 2(-2 + Z) 25 + 5z = -2 + 2Z + (-2 * 2 + Z * 2) 25 + 5z = -2 + 2Z + (-4 + 2Z) Reorder the terms: 25 + 5z = -2 + -4 + 2Z + 2Z Combine like terms: -2 + -4 = -6 25 + 5z = -6 + 2Z + 2Z Combine like terms: 2Z + 2Z = 4Z 25 + 5z = -6 + 4Z Solving 25 + 5z = -6 + 4Z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 5z = -6 + -25 + 4Z Combine like terms: 25 + -25 = 0 0 + 5z = -6 + -25 + 4Z 5z = -6 + -25 + 4Z Combine like terms: -6 + -25 = -31 5z = -31 + 4Z Divide each side by '5'. z = -6.2 + 0.8Z Simplifying z = -6.2 + 0.8Z
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