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Simplifying 5(r + 2 + 3t) = 0 Reorder the terms: 5(2 + r + 3t) = 0 (2 * 5 + r * 5 + 3t * 5) = 0 (10 + 5r + 15t) = 0 Solving 10 + 5r + 15t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 5r + -10 + 15t = 0 + -10 Reorder the terms: 10 + -10 + 5r + 15t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5r + 15t = 0 + -10 5r + 15t = 0 + -10 Combine like terms: 0 + -10 = -10 5r + 15t = -10 Add '-15t' to each side of the equation. 5r + 15t + -15t = -10 + -15t Combine like terms: 15t + -15t = 0 5r + 0 = -10 + -15t 5r = -10 + -15t Divide each side by '5'. r = -2 + -3t Simplifying r = -2 + -3t
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