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Simplifying -388 = 7(7r + 1) + -3 Reorder the terms: -388 = 7(1 + 7r) + -3 -388 = (1 * 7 + 7r * 7) + -3 -388 = (7 + 49r) + -3 Reorder the terms: -388 = 7 + -3 + 49r Combine like terms: 7 + -3 = 4 -388 = 4 + 49r Solving -388 = 4 + 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. -388 + -49r = 4 + 49r + -49r Combine like terms: 49r + -49r = 0 -388 + -49r = 4 + 0 -388 + -49r = 4 Add '388' to each side of the equation. -388 + 388 + -49r = 4 + 388 Combine like terms: -388 + 388 = 0 0 + -49r = 4 + 388 -49r = 4 + 388 Combine like terms: 4 + 388 = 392 -49r = 392 Divide each side by '-49'. r = -8 Simplifying r = -8
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