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Simplifying 10(r + 2) + 3t(r + 2) = 0 Reorder the terms: 10(2 + r) + 3t(r + 2) = 0 (2 * 10 + r * 10) + 3t(r + 2) = 0 (20 + 10r) + 3t(r + 2) = 0 Reorder the terms: 20 + 10r + 3t(2 + r) = 0 20 + 10r + (2 * 3t + r * 3t) = 0 Reorder the terms: 20 + 10r + (3rt + 6t) = 0 20 + 10r + (3rt + 6t) = 0 Solving 20 + 10r + 3rt + 6t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 10r + 3rt + -20 + 6t = 0 + -20 Reorder the terms: 20 + -20 + 10r + 3rt + 6t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 10r + 3rt + 6t = 0 + -20 10r + 3rt + 6t = 0 + -20 Combine like terms: 0 + -20 = -20 10r + 3rt + 6t = -20 Add '-6t' to each side of the equation. 10r + 3rt + 6t + -6t = -20 + -6t Combine like terms: 6t + -6t = 0 10r + 3rt + 0 = -20 + -6t 10r + 3rt = -20 + -6t Reorder the terms: 20 + 10r + 3rt + 6t = -20 + -6t + 20 + 6t Reorder the terms: 20 + 10r + 3rt + 6t = -20 + 20 + -6t + 6t Combine like terms: -20 + 20 = 0 20 + 10r + 3rt + 6t = 0 + -6t + 6t 20 + 10r + 3rt + 6t = -6t + 6t Combine like terms: -6t + 6t = 0 20 + 10r + 3rt + 6t = 0 The solution to this equation could not be determined.
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