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Simplifying -14 = 18(-1z + -2) + -4(3z + -9) Reorder the terms: -14 = 18(-2 + -1z) + -4(3z + -9) -14 = (-2 * 18 + -1z * 18) + -4(3z + -9) -14 = (-36 + -18z) + -4(3z + -9) Reorder the terms: -14 = -36 + -18z + -4(-9 + 3z) -14 = -36 + -18z + (-9 * -4 + 3z * -4) -14 = -36 + -18z + (36 + -12z) Reorder the terms: -14 = -36 + 36 + -18z + -12z Combine like terms: -36 + 36 = 0 -14 = 0 + -18z + -12z -14 = -18z + -12z Combine like terms: -18z + -12z = -30z -14 = -30z Solving -14 = -30z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '30z' to each side of the equation. -14 + 30z = -30z + 30z Combine like terms: -30z + 30z = 0 -14 + 30z = 0 Add '14' to each side of the equation. -14 + 14 + 30z = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 30z = 0 + 14 30z = 0 + 14 Combine like terms: 0 + 14 = 14 30z = 14 Divide each side by '30'. z = 0.4666666667 Simplifying z = 0.4666666667
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