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Simplifying -3 + -1(4z + -2) = -1(3z + 2) + -4 Reorder the terms: -3 + -1(-2 + 4z) = -1(3z + 2) + -4 -3 + (-2 * -1 + 4z * -1) = -1(3z + 2) + -4 -3 + (2 + -4z) = -1(3z + 2) + -4 Combine like terms: -3 + 2 = -1 -1 + -4z = -1(3z + 2) + -4 Reorder the terms: -1 + -4z = -1(2 + 3z) + -4 -1 + -4z = (2 * -1 + 3z * -1) + -4 -1 + -4z = (-2 + -3z) + -4 Reorder the terms: -1 + -4z = -2 + -4 + -3z Combine like terms: -2 + -4 = -6 -1 + -4z = -6 + -3z Solving -1 + -4z = -6 + -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. -1 + -4z + 3z = -6 + -3z + 3z Combine like terms: -4z + 3z = -1z -1 + -1z = -6 + -3z + 3z Combine like terms: -3z + 3z = 0 -1 + -1z = -6 + 0 -1 + -1z = -6 Add '1' to each side of the equation. -1 + 1 + -1z = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -1z = -6 + 1 -1z = -6 + 1 Combine like terms: -6 + 1 = -5 -1z = -5 Divide each side by '-1'. z = 5 Simplifying z = 5
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