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Simplifying -8r + -2 = -16 + -8r + 7r Reorder the terms: -2 + -8r = -16 + -8r + 7r Combine like terms: -8r + 7r = -1r -2 + -8r = -16 + -1r Solving -2 + -8r = -16 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -2 + -8r + r = -16 + -1r + r Combine like terms: -8r + r = -7r -2 + -7r = -16 + -1r + r Combine like terms: -1r + r = 0 -2 + -7r = -16 + 0 -2 + -7r = -16 Add '2' to each side of the equation. -2 + 2 + -7r = -16 + 2 Combine like terms: -2 + 2 = 0 0 + -7r = -16 + 2 -7r = -16 + 2 Combine like terms: -16 + 2 = -14 -7r = -14 Divide each side by '-7'. r = 2 Simplifying r = 2
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