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Simplifying -53 = 3r + -2 Reorder the terms: -53 = -2 + 3r Solving -53 = -2 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -53 + -3r = -2 + 3r + -3r Combine like terms: 3r + -3r = 0 -53 + -3r = -2 + 0 -53 + -3r = -2 Add '53' to each side of the equation. -53 + 53 + -3r = -2 + 53 Combine like terms: -53 + 53 = 0 0 + -3r = -2 + 53 -3r = -2 + 53 Combine like terms: -2 + 53 = 51 -3r = 51 Divide each side by '-3'. r = -17 Simplifying r = -17
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