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Simplifying R + -2(3 + -2t) = 2t + 9 R + (3 * -2 + -2t * -2) = 2t + 9 R + (-6 + 4t) = 2t + 9 Reorder the terms: -6 + R + 4t = 2t + 9 Reorder the terms: -6 + R + 4t = 9 + 2t Solving -6 + R + 4t = 9 + 2t Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '6' to each side of the equation. -6 + R + 6 + 4t = 9 + 6 + 2t Reorder the terms: -6 + 6 + R + 4t = 9 + 6 + 2t Combine like terms: -6 + 6 = 0 0 + R + 4t = 9 + 6 + 2t R + 4t = 9 + 6 + 2t Combine like terms: 9 + 6 = 15 R + 4t = 15 + 2t Add '-4t' to each side of the equation. R + 4t + -4t = 15 + 2t + -4t Combine like terms: 4t + -4t = 0 R + 0 = 15 + 2t + -4t R = 15 + 2t + -4t Combine like terms: 2t + -4t = -2t R = 15 + -2t Simplifying R = 15 + -2t
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