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Simplifying 13 + 5z = 8(z + -1) Reorder the terms: 13 + 5z = 8(-1 + z) 13 + 5z = (-1 * 8 + z * 8) 13 + 5z = (-8 + 8z) Solving 13 + 5z = -8 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 13 + 5z + -8z = -8 + 8z + -8z Combine like terms: 5z + -8z = -3z 13 + -3z = -8 + 8z + -8z Combine like terms: 8z + -8z = 0 13 + -3z = -8 + 0 13 + -3z = -8 Add '-13' to each side of the equation. 13 + -13 + -3z = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -3z = -8 + -13 -3z = -8 + -13 Combine like terms: -8 + -13 = -21 -3z = -21 Divide each side by '-3'. z = 7 Simplifying z = 7
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