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Simplifying 7 + -1(3z + -6) = 1 + -4z Reorder the terms: 7 + -1(-6 + 3z) = 1 + -4z 7 + (-6 * -1 + 3z * -1) = 1 + -4z 7 + (6 + -3z) = 1 + -4z Combine like terms: 7 + 6 = 13 13 + -3z = 1 + -4z Solving 13 + -3z = 1 + -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. 13 + -3z + 4z = 1 + -4z + 4z Combine like terms: -3z + 4z = 1z 13 + 1z = 1 + -4z + 4z Combine like terms: -4z + 4z = 0 13 + 1z = 1 + 0 13 + 1z = 1 Add '-13' to each side of the equation. 13 + -13 + 1z = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 1z = 1 + -13 1z = 1 + -13 Combine like terms: 1 + -13 = -12 1z = -12 Divide each side by '1'. z = -12 Simplifying z = -12
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