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Simplifying -2(2z + 7) + -4(4z + -7) + -18z = 0 Reorder the terms: -2(7 + 2z) + -4(4z + -7) + -18z = 0 (7 * -2 + 2z * -2) + -4(4z + -7) + -18z = 0 (-14 + -4z) + -4(4z + -7) + -18z = 0 Reorder the terms: -14 + -4z + -4(-7 + 4z) + -18z = 0 -14 + -4z + (-7 * -4 + 4z * -4) + -18z = 0 -14 + -4z + (28 + -16z) + -18z = 0 Reorder the terms: -14 + 28 + -4z + -16z + -18z = 0 Combine like terms: -14 + 28 = 14 14 + -4z + -16z + -18z = 0 Combine like terms: -4z + -16z = -20z 14 + -20z + -18z = 0 Combine like terms: -20z + -18z = -38z 14 + -38z = 0 Solving 14 + -38z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -38z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -38z = 0 + -14 -38z = 0 + -14 Combine like terms: 0 + -14 = -14 -38z = -14 Divide each side by '-38'. z = 0.3684210526 Simplifying z = 0.3684210526
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