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Simplifying 4r + -7w + 2r + -3w = 0 Reorder the terms: 4r + 2r + -7w + -3w = 0 Combine like terms: 4r + 2r = 6r 6r + -7w + -3w = 0 Combine like terms: -7w + -3w = -10w 6r + -10w = 0 Solving 6r + -10w = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10w' to each side of the equation. 6r + -10w + 10w = 0 + 10w Combine like terms: -10w + 10w = 0 6r + 0 = 0 + 10w 6r = 0 + 10w Remove the zero: 6r = 10w Divide each side by '6'. r = 1.666666667w Simplifying r = 1.666666667w
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