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Simplifying 2z + -3(z + 1) = -1(5x + -20) + -1x Reorder the terms: 2z + -3(1 + z) = -1(5x + -20) + -1x 2z + (1 * -3 + z * -3) = -1(5x + -20) + -1x 2z + (-3 + -3z) = -1(5x + -20) + -1x Reorder the terms: -3 + 2z + -3z = -1(5x + -20) + -1x Combine like terms: 2z + -3z = -1z -3 + -1z = -1(5x + -20) + -1x Reorder the terms: -3 + -1z = -1(-20 + 5x) + -1x -3 + -1z = (-20 * -1 + 5x * -1) + -1x -3 + -1z = (20 + -5x) + -1x Combine like terms: -5x + -1x = -6x -3 + -1z = 20 + -6x Solving -3 + -1z = 20 + -6x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1z = 20 + 3 + -6x Combine like terms: -3 + 3 = 0 0 + -1z = 20 + 3 + -6x -1z = 20 + 3 + -6x Combine like terms: 20 + 3 = 23 -1z = 23 + -6x Divide each side by '-1'. z = -23 + 6x Simplifying z = -23 + 6x
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