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Simplifying 6t + -2(2 + -1r) = 4(2r + -1) 6t + (2 * -2 + -1r * -2) = 4(2r + -1) 6t + (-4 + 2r) = 4(2r + -1) Reorder the terms: -4 + 2r + 6t = 4(2r + -1) Reorder the terms: -4 + 2r + 6t = 4(-1 + 2r) -4 + 2r + 6t = (-1 * 4 + 2r * 4) -4 + 2r + 6t = (-4 + 8r) Add '4' to each side of the equation. -4 + 2r + 4 + 6t = -4 + 4 + 8r Reorder the terms: -4 + 4 + 2r + 6t = -4 + 4 + 8r Combine like terms: -4 + 4 = 0 0 + 2r + 6t = -4 + 4 + 8r 2r + 6t = -4 + 4 + 8r Combine like terms: -4 + 4 = 0 2r + 6t = 0 + 8r 2r + 6t = 8r Solving 2r + 6t = 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 2r + -8r + 6t = 8r + -8r Combine like terms: 2r + -8r = -6r -6r + 6t = 8r + -8r Combine like terms: 8r + -8r = 0 -6r + 6t = 0 Add '-6t' to each side of the equation. -6r + 6t + -6t = 0 + -6t Combine like terms: 6t + -6t = 0 -6r + 0 = 0 + -6t -6r = 0 + -6t Remove the zero: -6r = -6t Divide each side by '-6'. r = t Simplifying r = t
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