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Simplifying -37 = 7(7r + 1) + 5 Reorder the terms: -37 = 7(1 + 7r) + 5 -37 = (1 * 7 + 7r * 7) + 5 -37 = (7 + 49r) + 5 Reorder the terms: -37 = 7 + 5 + 49r Combine like terms: 7 + 5 = 12 -37 = 12 + 49r Solving -37 = 12 + 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 + -49r = 12 + 49r + -49r Combine like terms: 49r + -49r = 0 -37 + -49r = 12 + 0 -37 + -49r = 12 Add '37' to each side of the equation. -37 + 37 + -49r = 12 + 37 Combine like terms: -37 + 37 = 0 0 + -49r = 12 + 37 -49r = 12 + 37 Combine like terms: 12 + 37 = 49 -49r = 49 Divide each side by '-49'. r = -1 Simplifying r = -1
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