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Simplifying r + -2[1 + -3(2r + 4)] = 61 Reorder the terms: r + -2[1 + -3(4 + 2r)] = 61 r + -2[1 + (4 * -3 + 2r * -3)] = 61 r + -2[1 + (-12 + -6r)] = 61 Combine like terms: 1 + -12 = -11 r + -2[-11 + -6r] = 61 r + [-11 * -2 + -6r * -2] = 61 r + [22 + 12r] = 61 Reorder the terms: 22 + r + 12r = 61 Combine like terms: r + 12r = 13r 22 + 13r = 61 Solving 22 + 13r = 61 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 13r = 61 + -22 Combine like terms: 22 + -22 = 0 0 + 13r = 61 + -22 13r = 61 + -22 Combine like terms: 61 + -22 = 39 13r = 39 Divide each side by '13'. r = 3 Simplifying r = 3
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