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Simplifying 10r + -2[r + -3(4 + -1r)] = 0 10r + -2[r + (4 * -3 + -1r * -3)] = 0 10r + -2[r + (-12 + 3r)] = 0 Reorder the terms: 10r + -2[-12 + r + 3r] = 0 Combine like terms: r + 3r = 4r 10r + -2[-12 + 4r] = 0 10r + [-12 * -2 + 4r * -2] = 0 10r + [24 + -8r] = 0 Reorder the terms: 24 + 10r + -8r = 0 Combine like terms: 10r + -8r = 2r 24 + 2r = 0 Solving 24 + 2r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2r = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2r = 0 + -24 2r = 0 + -24 Combine like terms: 0 + -24 = -24 2r = -24 Divide each side by '2'. r = -12 Simplifying r = -12
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