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Simplifying r + -3[1 + -2(3r + 6)] = 90 Reorder the terms: r + -3[1 + -2(6 + 3r)] = 90 r + -3[1 + (6 * -2 + 3r * -2)] = 90 r + -3[1 + (-12 + -6r)] = 90 Combine like terms: 1 + -12 = -11 r + -3[-11 + -6r] = 90 r + [-11 * -3 + -6r * -3] = 90 r + [33 + 18r] = 90 Reorder the terms: 33 + r + 18r = 90 Combine like terms: r + 18r = 19r 33 + 19r = 90 Solving 33 + 19r = 90 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 19r = 90 + -33 Combine like terms: 33 + -33 = 0 0 + 19r = 90 + -33 19r = 90 + -33 Combine like terms: 90 + -33 = 57 19r = 57 Divide each side by '19'. r = 3 Simplifying r = 3
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