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Simplifying 7r + 14 = 7(8r + -5) Reorder the terms: 14 + 7r = 7(8r + -5) Reorder the terms: 14 + 7r = 7(-5 + 8r) 14 + 7r = (-5 * 7 + 8r * 7) 14 + 7r = (-35 + 56r) Solving 14 + 7r = -35 + 56r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-56r' to each side of the equation. 14 + 7r + -56r = -35 + 56r + -56r Combine like terms: 7r + -56r = -49r 14 + -49r = -35 + 56r + -56r Combine like terms: 56r + -56r = 0 14 + -49r = -35 + 0 14 + -49r = -35 Add '-14' to each side of the equation. 14 + -14 + -49r = -35 + -14 Combine like terms: 14 + -14 = 0 0 + -49r = -35 + -14 -49r = -35 + -14 Combine like terms: -35 + -14 = -49 -49r = -49 Divide each side by '-49'. r = 1 Simplifying r = 1
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