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Simplifying -5 + 3r = 1 + 4r + -2 + 2 Reorder the terms: -5 + 3r = 1 + -2 + 2 + 4r Combine like terms: 1 + -2 = -1 -5 + 3r = -1 + 2 + 4r Combine like terms: -1 + 2 = 1 -5 + 3r = 1 + 4r Solving -5 + 3r = 1 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -5 + 3r + -4r = 1 + 4r + -4r Combine like terms: 3r + -4r = -1r -5 + -1r = 1 + 4r + -4r Combine like terms: 4r + -4r = 0 -5 + -1r = 1 + 0 -5 + -1r = 1 Add '5' to each side of the equation. -5 + 5 + -1r = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -1r = 1 + 5 -1r = 1 + 5 Combine like terms: 1 + 5 = 6 -1r = 6 Divide each side by '-1'. r = -6 Simplifying r = -6
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