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Simplifying 37 + 6r = -7(7 + -7r) 37 + 6r = (7 * -7 + -7r * -7) 37 + 6r = (-49 + 49r) Solving 37 + 6r = -49 + 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. 37 + 6r + -49r = -49 + 49r + -49r Combine like terms: 6r + -49r = -43r 37 + -43r = -49 + 49r + -49r Combine like terms: 49r + -49r = 0 37 + -43r = -49 + 0 37 + -43r = -49 Add '-37' to each side of the equation. 37 + -37 + -43r = -49 + -37 Combine like terms: 37 + -37 = 0 0 + -43r = -49 + -37 -43r = -49 + -37 Combine like terms: -49 + -37 = -86 -43r = -86 Divide each side by '-43'. r = 2 Simplifying r = 2
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