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Simplifying 5z + 20 = 3(z + -4) Reorder the terms: 20 + 5z = 3(z + -4) Reorder the terms: 20 + 5z = 3(-4 + z) 20 + 5z = (-4 * 3 + z * 3) 20 + 5z = (-12 + 3z) Solving 20 + 5z = -12 + 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. 20 + 5z + -3z = -12 + 3z + -3z Combine like terms: 5z + -3z = 2z 20 + 2z = -12 + 3z + -3z Combine like terms: 3z + -3z = 0 20 + 2z = -12 + 0 20 + 2z = -12 Add '-20' to each side of the equation. 20 + -20 + 2z = -12 + -20 Combine like terms: 20 + -20 = 0 0 + 2z = -12 + -20 2z = -12 + -20 Combine like terms: -12 + -20 = -32 2z = -32 Divide each side by '2'. z = -16 Simplifying z = -16
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