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Simplifying 259 = 7(1 + -6r) 259 = (1 * 7 + -6r * 7) 259 = (7 + -42r) Solving 259 = 7 + -42r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '42r' to each side of the equation. 259 + 42r = 7 + -42r + 42r Combine like terms: -42r + 42r = 0 259 + 42r = 7 + 0 259 + 42r = 7 Add '-259' to each side of the equation. 259 + -259 + 42r = 7 + -259 Combine like terms: 259 + -259 = 0 0 + 42r = 7 + -259 42r = 7 + -259 Combine like terms: 7 + -259 = -252 42r = -252 Divide each side by '42'. r = -6 Simplifying r = -6
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