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Simplifying -37 + 4r = 7(1 + -1r) -37 + 4r = (1 * 7 + -1r * 7) -37 + 4r = (7 + -7r) Solving -37 + 4r = 7 + -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. -37 + 4r + 7r = 7 + -7r + 7r Combine like terms: 4r + 7r = 11r -37 + 11r = 7 + -7r + 7r Combine like terms: -7r + 7r = 0 -37 + 11r = 7 + 0 -37 + 11r = 7 Add '37' to each side of the equation. -37 + 37 + 11r = 7 + 37 Combine like terms: -37 + 37 = 0 0 + 11r = 7 + 37 11r = 7 + 37 Combine like terms: 7 + 37 = 44 11r = 44 Divide each side by '11'. r = 4 Simplifying r = 4
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