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Simplifying r(5 + -1x) + t(5 + -1x) = 0 (5 * r + -1x * r) + t(5 + -1x) = 0 (5r + -1rx) + t(5 + -1x) = 0 5r + -1rx + (5 * t + -1x * t) = 0 5r + -1rx + (5t + -1tx) = 0 Solving 5r + -1rx + 5t + -1tx = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5t' to each side of the equation. 5r + -1rx + 5t + -5t + -1tx = 0 + -5t Combine like terms: 5t + -5t = 0 5r + -1rx + 0 + -1tx = 0 + -5t 5r + -1rx + -1tx = 0 + -5t Remove the zero: 5r + -1rx + -1tx = -5t Add 'tx' to each side of the equation. 5r + -1rx + -1tx + tx = -5t + tx Combine like terms: -1tx + tx = 0 5r + -1rx + 0 = -5t + tx 5r + -1rx = -5t + tx Reorder the terms: 5r + -1rx + 5t + -1tx = -5t + 5t + tx + -1tx Combine like terms: -5t + 5t = 0 5r + -1rx + 5t + -1tx = 0 + tx + -1tx 5r + -1rx + 5t + -1tx = tx + -1tx Combine like terms: tx + -1tx = 0 5r + -1rx + 5t + -1tx = 0 The solution to this equation could not be determined.
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