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Simplifying -252 = 6(7r + -7) Reorder the terms: -252 = 6(-7 + 7r) -252 = (-7 * 6 + 7r * 6) -252 = (-42 + 42r) Solving -252 = -42 + 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. -252 + -42r = -42 + 42r + -42r Combine like terms: 42r + -42r = 0 -252 + -42r = -42 + 0 -252 + -42r = -42 Add '252' to each side of the equation. -252 + 252 + -42r = -42 + 252 Combine like terms: -252 + 252 = 0 0 + -42r = -42 + 252 -42r = -42 + 252 Combine like terms: -42 + 252 = 210 -42r = 210 Divide each side by '-42'. r = -5 Simplifying r = -5
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