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Simplifying 2r + -1(-3 + 6t) = 0 2r + (-3 * -1 + 6t * -1) = 0 2r + (3 + -6t) = 0 Reorder the terms: 3 + 2r + -6t = 0 Solving 3 + 2r + -6t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2r + -3 + -6t = 0 + -3 Reorder the terms: 3 + -3 + 2r + -6t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2r + -6t = 0 + -3 2r + -6t = 0 + -3 Combine like terms: 0 + -3 = -3 2r + -6t = -3 Add '6t' to each side of the equation. 2r + -6t + 6t = -3 + 6t Combine like terms: -6t + 6t = 0 2r + 0 = -3 + 6t 2r = -3 + 6t Divide each side by '2'. r = -1.5 + 3t Simplifying r = -1.5 + 3t
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