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Simplifying 8 + 2(8t + -2r) = 4(3r + 2) Reorder the terms: 8 + 2(-2r + 8t) = 4(3r + 2) 8 + (-2r * 2 + 8t * 2) = 4(3r + 2) 8 + (-4r + 16t) = 4(3r + 2) Reorder the terms: 8 + -4r + 16t = 4(2 + 3r) 8 + -4r + 16t = (2 * 4 + 3r * 4) 8 + -4r + 16t = (8 + 12r) Add '-8' to each side of the equation. 8 + -4r + -8 + 16t = 8 + -8 + 12r Reorder the terms: 8 + -8 + -4r + 16t = 8 + -8 + 12r Combine like terms: 8 + -8 = 0 0 + -4r + 16t = 8 + -8 + 12r -4r + 16t = 8 + -8 + 12r Combine like terms: 8 + -8 = 0 -4r + 16t = 0 + 12r -4r + 16t = 12r Solving -4r + 16t = 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -4r + -12r + 16t = 12r + -12r Combine like terms: -4r + -12r = -16r -16r + 16t = 12r + -12r Combine like terms: 12r + -12r = 0 -16r + 16t = 0 Add '-16t' to each side of the equation. -16r + 16t + -16t = 0 + -16t Combine like terms: 16t + -16t = 0 -16r + 0 = 0 + -16t -16r = 0 + -16t Remove the zero: -16r = -16t Divide each side by '-16'. r = t Simplifying r = t
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