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Simplifying 5r + 2 = 7(8 + -7r) Reorder the terms: 2 + 5r = 7(8 + -7r) 2 + 5r = (8 * 7 + -7r * 7) 2 + 5r = (56 + -49r) Solving 2 + 5r = 56 + -49r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '49r' to each side of the equation. 2 + 5r + 49r = 56 + -49r + 49r Combine like terms: 5r + 49r = 54r 2 + 54r = 56 + -49r + 49r Combine like terms: -49r + 49r = 0 2 + 54r = 56 + 0 2 + 54r = 56 Add '-2' to each side of the equation. 2 + -2 + 54r = 56 + -2 Combine like terms: 2 + -2 = 0 0 + 54r = 56 + -2 54r = 56 + -2 Combine like terms: 56 + -2 = 54 54r = 54 Divide each side by '54'. r = 1 Simplifying r = 1
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