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Simplifying 3(z + -3) + -2 = 4z + -20 Reorder the terms: 3(-3 + z) + -2 = 4z + -20 (-3 * 3 + z * 3) + -2 = 4z + -20 (-9 + 3z) + -2 = 4z + -20 Reorder the terms: -9 + -2 + 3z = 4z + -20 Combine like terms: -9 + -2 = -11 -11 + 3z = 4z + -20 Reorder the terms: -11 + 3z = -20 + 4z Solving -11 + 3z = -20 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -11 + 3z + -4z = -20 + 4z + -4z Combine like terms: 3z + -4z = -1z -11 + -1z = -20 + 4z + -4z Combine like terms: 4z + -4z = 0 -11 + -1z = -20 + 0 -11 + -1z = -20 Add '11' to each side of the equation. -11 + 11 + -1z = -20 + 11 Combine like terms: -11 + 11 = 0 0 + -1z = -20 + 11 -1z = -20 + 11 Combine like terms: -20 + 11 = -9 -1z = -9 Divide each side by '-1'. z = 9 Simplifying z = 9
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