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Simplifying 4.2r + 8.1s + 1.09 + 6.32s = 0 Reorder the terms: 1.09 + 4.2r + 8.1s + 6.32s = 0 Combine like terms: 8.1s + 6.32s = 14.42s 1.09 + 4.2r + 14.42s = 0 Solving 1.09 + 4.2r + 14.42s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.09' to each side of the equation. 1.09 + 4.2r + -1.09 + 14.42s = 0 + -1.09 Reorder the terms: 1.09 + -1.09 + 4.2r + 14.42s = 0 + -1.09 Combine like terms: 1.09 + -1.09 = 0.00 0.00 + 4.2r + 14.42s = 0 + -1.09 4.2r + 14.42s = 0 + -1.09 Combine like terms: 0 + -1.09 = -1.09 4.2r + 14.42s = -1.09 Add '-14.42s' to each side of the equation. 4.2r + 14.42s + -14.42s = -1.09 + -14.42s Combine like terms: 14.42s + -14.42s = 0.00 4.2r + 0.00 = -1.09 + -14.42s 4.2r = -1.09 + -14.42s Divide each side by '4.2'. r = -0.2595238095 + -3.433333333s Simplifying r = -0.2595238095 + -3.433333333s
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