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Simplifying -2r + 7(4 + -7r) = -6(r + 4) + 7r -2r + (4 * 7 + -7r * 7) = -6(r + 4) + 7r -2r + (28 + -49r) = -6(r + 4) + 7r Reorder the terms: 28 + -2r + -49r = -6(r + 4) + 7r Combine like terms: -2r + -49r = -51r 28 + -51r = -6(r + 4) + 7r Reorder the terms: 28 + -51r = -6(4 + r) + 7r 28 + -51r = (4 * -6 + r * -6) + 7r 28 + -51r = (-24 + -6r) + 7r Combine like terms: -6r + 7r = 1r 28 + -51r = -24 + 1r Solving 28 + -51r = -24 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 28 + -51r + -1r = -24 + 1r + -1r Combine like terms: -51r + -1r = -52r 28 + -52r = -24 + 1r + -1r Combine like terms: 1r + -1r = 0 28 + -52r = -24 + 0 28 + -52r = -24 Add '-28' to each side of the equation. 28 + -28 + -52r = -24 + -28 Combine like terms: 28 + -28 = 0 0 + -52r = -24 + -28 -52r = -24 + -28 Combine like terms: -24 + -28 = -52 -52r = -52 Divide each side by '-52'. r = 1 Simplifying r = 1
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