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Simplifying 6 + -1(2z + -7) = 4 + -3z Reorder the terms: 6 + -1(-7 + 2z) = 4 + -3z 6 + (-7 * -1 + 2z * -1) = 4 + -3z 6 + (7 + -2z) = 4 + -3z Combine like terms: 6 + 7 = 13 13 + -2z = 4 + -3z Solving 13 + -2z = 4 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 13 + -2z + 3z = 4 + -3z + 3z Combine like terms: -2z + 3z = 1z 13 + 1z = 4 + -3z + 3z Combine like terms: -3z + 3z = 0 13 + 1z = 4 + 0 13 + 1z = 4 Add '-13' to each side of the equation. 13 + -13 + 1z = 4 + -13 Combine like terms: 13 + -13 = 0 0 + 1z = 4 + -13 1z = 4 + -13 Combine like terms: 4 + -13 = -9 1z = -9 Divide each side by '1'. z = -9 Simplifying z = -9
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