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Simplifying 6 + -1(z + 3) = 13 Reorder the terms: 6 + -1(3 + z) = 13 6 + (3 * -1 + z * -1) = 13 6 + (-3 + -1z) = 13 Combine like terms: 6 + -3 = 3 3 + -1z = 13 Solving 3 + -1z = 13 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1z = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = 13 + -3 -1z = 13 + -3 Combine like terms: 13 + -3 = 10 -1z = 10 Divide each side by '-1'. z = -10 Simplifying z = -10
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