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Simplifying 7(z + -2) = -3(4 + -1z) Reorder the terms: 7(-2 + z) = -3(4 + -1z) (-2 * 7 + z * 7) = -3(4 + -1z) (-14 + 7z) = -3(4 + -1z) -14 + 7z = (4 * -3 + -1z * -3) -14 + 7z = (-12 + 3z) Solving -14 + 7z = -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. -14 + 7z + -3z = -12 + 3z + -3z Combine like terms: 7z + -3z = 4z -14 + 4z = -12 + 3z + -3z Combine like terms: 3z + -3z = 0 -14 + 4z = -12 + 0 -14 + 4z = -12 Add '14' to each side of the equation. -14 + 14 + 4z = -12 + 14 Combine like terms: -14 + 14 = 0 0 + 4z = -12 + 14 4z = -12 + 14 Combine like terms: -12 + 14 = 2 4z = 2 Divide each side by '4'. z = 0.5 Simplifying z = 0.5
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