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Simplifying 14(6z + 2) = -7(4z + 4) Reorder the terms: 14(2 + 6z) = -7(4z + 4) (2 * 14 + 6z * 14) = -7(4z + 4) (28 + 84z) = -7(4z + 4) Reorder the terms: 28 + 84z = -7(4 + 4z) 28 + 84z = (4 * -7 + 4z * -7) 28 + 84z = (-28 + -28z) Solving 28 + 84z = -28 + -28z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '28z' to each side of the equation. 28 + 84z + 28z = -28 + -28z + 28z Combine like terms: 84z + 28z = 112z 28 + 112z = -28 + -28z + 28z Combine like terms: -28z + 28z = 0 28 + 112z = -28 + 0 28 + 112z = -28 Add '-28' to each side of the equation. 28 + -28 + 112z = -28 + -28 Combine like terms: 28 + -28 = 0 0 + 112z = -28 + -28 112z = -28 + -28 Combine like terms: -28 + -28 = -56 112z = -56 Divide each side by '112'. z = -0.5 Simplifying z = -0.5
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