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Simplifying -14(z + 2) + 5(4z + -6) = 5(z + -6) + 14 Reorder the terms: -14(2 + z) + 5(4z + -6) = 5(z + -6) + 14 (2 * -14 + z * -14) + 5(4z + -6) = 5(z + -6) + 14 (-28 + -14z) + 5(4z + -6) = 5(z + -6) + 14 Reorder the terms: -28 + -14z + 5(-6 + 4z) = 5(z + -6) + 14 -28 + -14z + (-6 * 5 + 4z * 5) = 5(z + -6) + 14 -28 + -14z + (-30 + 20z) = 5(z + -6) + 14 Reorder the terms: -28 + -30 + -14z + 20z = 5(z + -6) + 14 Combine like terms: -28 + -30 = -58 -58 + -14z + 20z = 5(z + -6) + 14 Combine like terms: -14z + 20z = 6z -58 + 6z = 5(z + -6) + 14 Reorder the terms: -58 + 6z = 5(-6 + z) + 14 -58 + 6z = (-6 * 5 + z * 5) + 14 -58 + 6z = (-30 + 5z) + 14 Reorder the terms: -58 + 6z = -30 + 14 + 5z Combine like terms: -30 + 14 = -16 -58 + 6z = -16 + 5z Solving -58 + 6z = -16 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -58 + 6z + -5z = -16 + 5z + -5z Combine like terms: 6z + -5z = 1z -58 + 1z = -16 + 5z + -5z Combine like terms: 5z + -5z = 0 -58 + 1z = -16 + 0 -58 + 1z = -16 Add '58' to each side of the equation. -58 + 58 + 1z = -16 + 58 Combine like terms: -58 + 58 = 0 0 + 1z = -16 + 58 1z = -16 + 58 Combine like terms: -16 + 58 = 42 1z = 42 Divide each side by '1'. z = 42 Simplifying z = 42
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