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Simplifying 7 + -1(4z + -6) = 5 + -5z Reorder the terms: 7 + -1(-6 + 4z) = 5 + -5z 7 + (-6 * -1 + 4z * -1) = 5 + -5z 7 + (6 + -4z) = 5 + -5z Combine like terms: 7 + 6 = 13 13 + -4z = 5 + -5z Solving 13 + -4z = 5 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 13 + -4z + 5z = 5 + -5z + 5z Combine like terms: -4z + 5z = 1z 13 + 1z = 5 + -5z + 5z Combine like terms: -5z + 5z = 0 13 + 1z = 5 + 0 13 + 1z = 5 Add '-13' to each side of the equation. 13 + -13 + 1z = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 1z = 5 + -13 1z = 5 + -13 Combine like terms: 5 + -13 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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