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Simplifying 2(z + -4) + 3z = 4 + -1(z + 2) Reorder the terms: 2(-4 + z) + 3z = 4 + -1(z + 2) (-4 * 2 + z * 2) + 3z = 4 + -1(z + 2) (-8 + 2z) + 3z = 4 + -1(z + 2) Combine like terms: 2z + 3z = 5z -8 + 5z = 4 + -1(z + 2) Reorder the terms: -8 + 5z = 4 + -1(2 + z) -8 + 5z = 4 + (2 * -1 + z * -1) -8 + 5z = 4 + (-2 + -1z) Combine like terms: 4 + -2 = 2 -8 + 5z = 2 + -1z Solving -8 + 5z = 2 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -8 + 5z + z = 2 + -1z + z Combine like terms: 5z + z = 6z -8 + 6z = 2 + -1z + z Combine like terms: -1z + z = 0 -8 + 6z = 2 + 0 -8 + 6z = 2 Add '8' to each side of the equation. -8 + 8 + 6z = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 6z = 2 + 8 6z = 2 + 8 Combine like terms: 2 + 8 = 10 6z = 10 Divide each side by '6'. z = 1.666666667 Simplifying z = 1.666666667
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