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Simplifying 2(2r + -1) = 7(r + 7) Reorder the terms: 2(-1 + 2r) = 7(r + 7) (-1 * 2 + 2r * 2) = 7(r + 7) (-2 + 4r) = 7(r + 7) Reorder the terms: -2 + 4r = 7(7 + r) -2 + 4r = (7 * 7 + r * 7) -2 + 4r = (49 + 7r) Solving -2 + 4r = 49 + 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. -2 + 4r + -7r = 49 + 7r + -7r Combine like terms: 4r + -7r = -3r -2 + -3r = 49 + 7r + -7r Combine like terms: 7r + -7r = 0 -2 + -3r = 49 + 0 -2 + -3r = 49 Add '2' to each side of the equation. -2 + 2 + -3r = 49 + 2 Combine like terms: -2 + 2 = 0 0 + -3r = 49 + 2 -3r = 49 + 2 Combine like terms: 49 + 2 = 51 -3r = 51 Divide each side by '-3'. r = -17 Simplifying r = -17
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