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Simplifying 7z + 3 = 2(z + -6) Reorder the terms: 3 + 7z = 2(z + -6) Reorder the terms: 3 + 7z = 2(-6 + z) 3 + 7z = (-6 * 2 + z * 2) 3 + 7z = (-12 + 2z) Solving 3 + 7z = -12 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 3 + 7z + -2z = -12 + 2z + -2z Combine like terms: 7z + -2z = 5z 3 + 5z = -12 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 5z = -12 + 0 3 + 5z = -12 Add '-3' to each side of the equation. 3 + -3 + 5z = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 5z = -12 + -3 5z = -12 + -3 Combine like terms: -12 + -3 = -15 5z = -15 Divide each side by '5'. z = -3 Simplifying z = -3
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