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Simplifying 6 + -7r = 7(r + -2) Reorder the terms: 6 + -7r = 7(-2 + r) 6 + -7r = (-2 * 7 + r * 7) 6 + -7r = (-14 + 7r) Solving 6 + -7r = -14 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 6 + -7r + -7r = -14 + 7r + -7r Combine like terms: -7r + -7r = -14r 6 + -14r = -14 + 7r + -7r Combine like terms: 7r + -7r = 0 6 + -14r = -14 + 0 6 + -14r = -14 Add '-6' to each side of the equation. 6 + -6 + -14r = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -14r = -14 + -6 -14r = -14 + -6 Combine like terms: -14 + -6 = -20 -14r = -20 Divide each side by '-14'. r = 1.428571429 Simplifying r = 1.428571429
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