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Simplifying -258 = 7(1 + 8r) + -3r -258 = (1 * 7 + 8r * 7) + -3r -258 = (7 + 56r) + -3r Combine like terms: 56r + -3r = 53r -258 = 7 + 53r Solving -258 = 7 + 53r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-53r' to each side of the equation. -258 + -53r = 7 + 53r + -53r Combine like terms: 53r + -53r = 0 -258 + -53r = 7 + 0 -258 + -53r = 7 Add '258' to each side of the equation. -258 + 258 + -53r = 7 + 258 Combine like terms: -258 + 258 = 0 0 + -53r = 7 + 258 -53r = 7 + 258 Combine like terms: 7 + 258 = 265 -53r = 265 Divide each side by '-53'. r = -5 Simplifying r = -5
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