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Simplifying -2 + -7(8 + 8r) = -5r + -7 -2 + (8 * -7 + 8r * -7) = -5r + -7 -2 + (-56 + -56r) = -5r + -7 Combine like terms: -2 + -56 = -58 -58 + -56r = -5r + -7 Reorder the terms: -58 + -56r = -7 + -5r Solving -58 + -56r = -7 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -58 + -56r + 5r = -7 + -5r + 5r Combine like terms: -56r + 5r = -51r -58 + -51r = -7 + -5r + 5r Combine like terms: -5r + 5r = 0 -58 + -51r = -7 + 0 -58 + -51r = -7 Add '58' to each side of the equation. -58 + 58 + -51r = -7 + 58 Combine like terms: -58 + 58 = 0 0 + -51r = -7 + 58 -51r = -7 + 58 Combine like terms: -7 + 58 = 51 -51r = 51 Divide each side by '-51'. r = -1 Simplifying r = -1
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