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Simplifying 3r + 8(2t + -6) = 2 + 14t Reorder the terms: 3r + 8(-6 + 2t) = 2 + 14t 3r + (-6 * 8 + 2t * 8) = 2 + 14t 3r + (-48 + 16t) = 2 + 14t Reorder the terms: -48 + 3r + 16t = 2 + 14t Solving -48 + 3r + 16t = 2 + 14t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 3r + 48 + 16t = 2 + 48 + 14t Reorder the terms: -48 + 48 + 3r + 16t = 2 + 48 + 14t Combine like terms: -48 + 48 = 0 0 + 3r + 16t = 2 + 48 + 14t 3r + 16t = 2 + 48 + 14t Combine like terms: 2 + 48 = 50 3r + 16t = 50 + 14t Add '-16t' to each side of the equation. 3r + 16t + -16t = 50 + 14t + -16t Combine like terms: 16t + -16t = 0 3r + 0 = 50 + 14t + -16t 3r = 50 + 14t + -16t Combine like terms: 14t + -16t = -2t 3r = 50 + -2t Divide each side by '3'. r = 16.66666667 + -0.6666666667t Simplifying r = 16.66666667 + -0.6666666667t
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