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Simplifying 4z + -2(5z + -7) + -1(-6z + z + -1) = 0 Reorder the terms: 4z + -2(-7 + 5z) + -1(-6z + z + -1) = 0 4z + (-7 * -2 + 5z * -2) + -1(-6z + z + -1) = 0 4z + (14 + -10z) + -1(-6z + z + -1) = 0 Reorder the terms: 4z + 14 + -10z + -1(-1 + -6z + z) = 0 Combine like terms: -6z + z = -5z 4z + 14 + -10z + -1(-1 + -5z) = 0 4z + 14 + -10z + (-1 * -1 + -5z * -1) = 0 4z + 14 + -10z + (1 + 5z) = 0 Reorder the terms: 14 + 1 + 4z + -10z + 5z = 0 Combine like terms: 14 + 1 = 15 15 + 4z + -10z + 5z = 0 Combine like terms: 4z + -10z = -6z 15 + -6z + 5z = 0 Combine like terms: -6z + 5z = -1z 15 + -1z = 0 Solving 15 + -1z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1z = 0 + -15 -1z = 0 + -15 Combine like terms: 0 + -15 = -15 -1z = -15 Divide each side by '-1'. z = 15 Simplifying z = 15
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