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Simplifying -2r + -3 = 7(11 + -1r) Reorder the terms: -3 + -2r = 7(11 + -1r) -3 + -2r = (11 * 7 + -1r * 7) -3 + -2r = (77 + -7r) Solving -3 + -2r = 77 + -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. -3 + -2r + 7r = 77 + -7r + 7r Combine like terms: -2r + 7r = 5r -3 + 5r = 77 + -7r + 7r Combine like terms: -7r + 7r = 0 -3 + 5r = 77 + 0 -3 + 5r = 77 Add '3' to each side of the equation. -3 + 3 + 5r = 77 + 3 Combine like terms: -3 + 3 = 0 0 + 5r = 77 + 3 5r = 77 + 3 Combine like terms: 77 + 3 = 80 5r = 80 Divide each side by '5'. r = 16 Simplifying r = 16
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