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Simplifying -7r + 8(7r + -5) = 14 + -5r Reorder the terms: -7r + 8(-5 + 7r) = 14 + -5r -7r + (-5 * 8 + 7r * 8) = 14 + -5r -7r + (-40 + 56r) = 14 + -5r Reorder the terms: -40 + -7r + 56r = 14 + -5r Combine like terms: -7r + 56r = 49r -40 + 49r = 14 + -5r Solving -40 + 49r = 14 + -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. -40 + 49r + 5r = 14 + -5r + 5r Combine like terms: 49r + 5r = 54r -40 + 54r = 14 + -5r + 5r Combine like terms: -5r + 5r = 0 -40 + 54r = 14 + 0 -40 + 54r = 14 Add '40' to each side of the equation. -40 + 40 + 54r = 14 + 40 Combine like terms: -40 + 40 = 0 0 + 54r = 14 + 40 54r = 14 + 40 Combine like terms: 14 + 40 = 54 54r = 54 Divide each side by '54'. r = 1 Simplifying r = 1
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