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Simplifying 6r + -3s + -8(8r + -8s) = 0 6r + -3s + (8r * -8 + -8s * -8) = 0 6r + -3s + (-64r + 64s) = 0 Reorder the terms: 6r + -64r + -3s + 64s = 0 Combine like terms: 6r + -64r = -58r -58r + -3s + 64s = 0 Combine like terms: -3s + 64s = 61s -58r + 61s = 0 Solving -58r + 61s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-61s' to each side of the equation. -58r + 61s + -61s = 0 + -61s Combine like terms: 61s + -61s = 0 -58r + 0 = 0 + -61s -58r = 0 + -61s Remove the zero: -58r = -61s Divide each side by '-58'. r = 1.051724138s Simplifying r = 1.051724138s
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