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Simplifying 258 = 5r + 5(r + 51) Reorder the terms: 258 = 5r + 5(51 + r) 258 = 5r + (51 * 5 + r * 5) 258 = 5r + (255 + 5r) Reorder the terms: 258 = 255 + 5r + 5r Combine like terms: 5r + 5r = 10r 258 = 255 + 10r Solving 258 = 255 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 258 + -10r = 255 + 10r + -10r Combine like terms: 10r + -10r = 0 258 + -10r = 255 + 0 258 + -10r = 255 Add '-258' to each side of the equation. 258 + -258 + -10r = 255 + -258 Combine like terms: 258 + -258 = 0 0 + -10r = 255 + -258 -10r = 255 + -258 Combine like terms: 255 + -258 = -3 -10r = -3 Divide each side by '-10'. r = 0.3 Simplifying r = 0.3
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