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Simplifying 6r + 5 = 8(r + z) + -2r Reorder the terms: 5 + 6r = 8(r + z) + -2r 5 + 6r = (r * 8 + z * 8) + -2r 5 + 6r = (8r + 8z) + -2r Reorder the terms: 5 + 6r = 8r + -2r + 8z Combine like terms: 8r + -2r = 6r 5 + 6r = 6r + 8z Add '-6r' to each side of the equation. 5 + 6r + -6r = 6r + -6r + 8z Combine like terms: 6r + -6r = 0 5 + 0 = 6r + -6r + 8z 5 = 6r + -6r + 8z Combine like terms: 6r + -6r = 0 5 = 0 + 8z 5 = 8z Solving 5 = 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. 5 + -8z = 8z + -8z Combine like terms: 8z + -8z = 0 5 + -8z = 0 Add '-5' to each side of the equation. 5 + -5 + -8z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8z = 0 + -5 -8z = 0 + -5 Combine like terms: 0 + -5 = -5 -8z = -5 Divide each side by '-8'. z = 0.625 Simplifying z = 0.625
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