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Simplifying -4 + 3r + -7(2s + -1r) * 83 = 0 Reorder the terms: -4 + 3r + -7(-1r + 2s) * 83 = 0 Reorder the terms for easier multiplication: -4 + 3r + -7 * 83(-1r + 2s) = 0 Multiply -7 * 83 -4 + 3r + -581(-1r + 2s) = 0 -4 + 3r + (-1r * -581 + 2s * -581) = 0 -4 + 3r + (581r + -1162s) = 0 Combine like terms: 3r + 581r = 584r -4 + 584r + -1162s = 0 Solving -4 + 584r + -1162s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 584r + 4 + -1162s = 0 + 4 Reorder the terms: -4 + 4 + 584r + -1162s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 584r + -1162s = 0 + 4 584r + -1162s = 0 + 4 Combine like terms: 0 + 4 = 4 584r + -1162s = 4 Add '1162s' to each side of the equation. 584r + -1162s + 1162s = 4 + 1162s Combine like terms: -1162s + 1162s = 0 584r + 0 = 4 + 1162s 584r = 4 + 1162s Divide each side by '584'. r = 0.006849315068 + 1.989726027s Simplifying r = 0.006849315068 + 1.989726027s
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