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Simplifying -2(2 + 3) + -1z = -1z + -4(z + 2) Combine like terms: 2 + 3 = 5 -2(5) + -1z = -1z + -4(z + 2) Multiply -2 * 5 -10 + -1z = -1z + -4(z + 2) Reorder the terms: -10 + -1z = -1z + -4(2 + z) -10 + -1z = -1z + (2 * -4 + z * -4) -10 + -1z = -1z + (-8 + -4z) Reorder the terms: -10 + -1z = -8 + -1z + -4z Combine like terms: -1z + -4z = -5z -10 + -1z = -8 + -5z Solving -10 + -1z = -8 + -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. -10 + -1z + 5z = -8 + -5z + 5z Combine like terms: -1z + 5z = 4z -10 + 4z = -8 + -5z + 5z Combine like terms: -5z + 5z = 0 -10 + 4z = -8 + 0 -10 + 4z = -8 Add '10' to each side of the equation. -10 + 10 + 4z = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 4z = -8 + 10 4z = -8 + 10 Combine like terms: -8 + 10 = 2 4z = 2 Divide each side by '4'. z = 0.5 Simplifying z = 0.5
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