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Simplifying 6[z + -1(6z + 14) + 4] = 4(z + 2) Reorder the terms: 6[z + -1(14 + 6z) + 4] = 4(z + 2) 6[z + (14 * -1 + 6z * -1) + 4] = 4(z + 2) 6[z + (-14 + -6z) + 4] = 4(z + 2) Reorder the terms: 6[-14 + 4 + z + -6z] = 4(z + 2) Combine like terms: -14 + 4 = -10 6[-10 + z + -6z] = 4(z + 2) Combine like terms: z + -6z = -5z 6[-10 + -5z] = 4(z + 2) [-10 * 6 + -5z * 6] = 4(z + 2) [-60 + -30z] = 4(z + 2) Reorder the terms: -60 + -30z = 4(2 + z) -60 + -30z = (2 * 4 + z * 4) -60 + -30z = (8 + 4z) Solving -60 + -30z = 8 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -60 + -30z + -4z = 8 + 4z + -4z Combine like terms: -30z + -4z = -34z -60 + -34z = 8 + 4z + -4z Combine like terms: 4z + -4z = 0 -60 + -34z = 8 + 0 -60 + -34z = 8 Add '60' to each side of the equation. -60 + 60 + -34z = 8 + 60 Combine like terms: -60 + 60 = 0 0 + -34z = 8 + 60 -34z = 8 + 60 Combine like terms: 8 + 60 = 68 -34z = 68 Divide each side by '-34'. z = -2 Simplifying z = -2
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