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Simplifying -266 = -7(6r + 8) Reorder the terms: -266 = -7(8 + 6r) -266 = (8 * -7 + 6r * -7) -266 = (-56 + -42r) Solving -266 = -56 + -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. -266 + 42r = -56 + -42r + 42r Combine like terms: -42r + 42r = 0 -266 + 42r = -56 + 0 -266 + 42r = -56 Add '266' to each side of the equation. -266 + 266 + 42r = -56 + 266 Combine like terms: -266 + 266 = 0 0 + 42r = -56 + 266 42r = -56 + 266 Combine like terms: -56 + 266 = 210 42r = 210 Divide each side by '42'. r = 5 Simplifying r = 5
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