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Simplifying 5(r + -3) + -2t = 30 Reorder the terms: 5(-3 + r) + -2t = 30 (-3 * 5 + r * 5) + -2t = 30 (-15 + 5r) + -2t = 30 Solving -15 + 5r + -2t = 30 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 5r + 15 + -2t = 30 + 15 Reorder the terms: -15 + 15 + 5r + -2t = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 5r + -2t = 30 + 15 5r + -2t = 30 + 15 Combine like terms: 30 + 15 = 45 5r + -2t = 45 Add '2t' to each side of the equation. 5r + -2t + 2t = 45 + 2t Combine like terms: -2t + 2t = 0 5r + 0 = 45 + 2t 5r = 45 + 2t Divide each side by '5'. r = 9 + 0.4t Simplifying r = 9 + 0.4t
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