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Simplifying 3r + 10 = 7(2r + -2) + 2 Reorder the terms: 10 + 3r = 7(2r + -2) + 2 Reorder the terms: 10 + 3r = 7(-2 + 2r) + 2 10 + 3r = (-2 * 7 + 2r * 7) + 2 10 + 3r = (-14 + 14r) + 2 Reorder the terms: 10 + 3r = -14 + 2 + 14r Combine like terms: -14 + 2 = -12 10 + 3r = -12 + 14r Solving 10 + 3r = -12 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. 10 + 3r + -14r = -12 + 14r + -14r Combine like terms: 3r + -14r = -11r 10 + -11r = -12 + 14r + -14r Combine like terms: 14r + -14r = 0 10 + -11r = -12 + 0 10 + -11r = -12 Add '-10' to each side of the equation. 10 + -10 + -11r = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -11r = -12 + -10 -11r = -12 + -10 Combine like terms: -12 + -10 = -22 -11r = -22 Divide each side by '-11'. r = 2 Simplifying r = 2
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