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Simplifying 4t + -4(3r + -2) = 0 Reorder the terms: 4t + -4(-2 + 3r) = 0 4t + (-2 * -4 + 3r * -4) = 0 4t + (8 + -12r) = 0 Reorder the terms: 8 + -12r + 4t = 0 Solving 8 + -12r + 4t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -12r + -8 + 4t = 0 + -8 Reorder the terms: 8 + -8 + -12r + 4t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -12r + 4t = 0 + -8 -12r + 4t = 0 + -8 Combine like terms: 0 + -8 = -8 -12r + 4t = -8 Add '-4t' to each side of the equation. -12r + 4t + -4t = -8 + -4t Combine like terms: 4t + -4t = 0 -12r + 0 = -8 + -4t -12r = -8 + -4t Divide each side by '-12'. r = 0.6666666667 + 0.3333333333t Simplifying r = 0.6666666667 + 0.3333333333t
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