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Simplifying 4 + -1(z + 8) = -3(-1z + -1) + 2 Reorder the terms: 4 + -1(8 + z) = -3(-1z + -1) + 2 4 + (8 * -1 + z * -1) = -3(-1z + -1) + 2 4 + (-8 + -1z) = -3(-1z + -1) + 2 Combine like terms: 4 + -8 = -4 -4 + -1z = -3(-1z + -1) + 2 Reorder the terms: -4 + -1z = -3(-1 + -1z) + 2 -4 + -1z = (-1 * -3 + -1z * -3) + 2 -4 + -1z = (3 + 3z) + 2 Reorder the terms: -4 + -1z = 3 + 2 + 3z Combine like terms: 3 + 2 = 5 -4 + -1z = 5 + 3z Solving -4 + -1z = 5 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -4 + -1z + -3z = 5 + 3z + -3z Combine like terms: -1z + -3z = -4z -4 + -4z = 5 + 3z + -3z Combine like terms: 3z + -3z = 0 -4 + -4z = 5 + 0 -4 + -4z = 5 Add '4' to each side of the equation. -4 + 4 + -4z = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -4z = 5 + 4 -4z = 5 + 4 Combine like terms: 5 + 4 = 9 -4z = 9 Divide each side by '-4'. z = -2.25 Simplifying z = -2.25
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