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Simplifying 14 + 6(-1z + -4) = -18 + -10z + -20 Reorder the terms: 14 + 6(-4 + -1z) = -18 + -10z + -20 14 + (-4 * 6 + -1z * 6) = -18 + -10z + -20 14 + (-24 + -6z) = -18 + -10z + -20 Combine like terms: 14 + -24 = -10 -10 + -6z = -18 + -10z + -20 Reorder the terms: -10 + -6z = -18 + -20 + -10z Combine like terms: -18 + -20 = -38 -10 + -6z = -38 + -10z Solving -10 + -6z = -38 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. -10 + -6z + 10z = -38 + -10z + 10z Combine like terms: -6z + 10z = 4z -10 + 4z = -38 + -10z + 10z Combine like terms: -10z + 10z = 0 -10 + 4z = -38 + 0 -10 + 4z = -38 Add '10' to each side of the equation. -10 + 10 + 4z = -38 + 10 Combine like terms: -10 + 10 = 0 0 + 4z = -38 + 10 4z = -38 + 10 Combine like terms: -38 + 10 = -28 4z = -28 Divide each side by '4'. z = -7 Simplifying z = -7
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