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Simplifying 1x + 2y(5r) = 0 Remove parenthesis around (5r) 1x + 2y * 5r = 0 Reorder the terms for easier multiplication: 1x + 2 * 5y * r = 0 Multiply 2 * 5 1x + 10y * r = 0 Multiply y * r 1x + 10ry = 0 Reorder the terms: 10ry + 1x = 0 Solving 10ry + 1x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1x' to each side of the equation. 10ry + 1x + -1x = 0 + -1x Combine like terms: 1x + -1x = 0 10ry + 0 = 0 + -1x 10ry = 0 + -1x Remove the zero: 10ry = -1x Divide each side by '10y'. r = -0.1xy-1 Simplifying r = -0.1xy-1
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