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Simplifying 6(2r + 3) + -5t = 0 Reorder the terms: 6(3 + 2r) + -5t = 0 (3 * 6 + 2r * 6) + -5t = 0 (18 + 12r) + -5t = 0 Solving 18 + 12r + -5t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 12r + -18 + -5t = 0 + -18 Reorder the terms: 18 + -18 + 12r + -5t = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 12r + -5t = 0 + -18 12r + -5t = 0 + -18 Combine like terms: 0 + -18 = -18 12r + -5t = -18 Add '5t' to each side of the equation. 12r + -5t + 5t = -18 + 5t Combine like terms: -5t + 5t = 0 12r + 0 = -18 + 5t 12r = -18 + 5t Divide each side by '12'. r = -1.5 + 0.4166666667t Simplifying r = -1.5 + 0.4166666667t
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