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Simplifying (2r + -5t) = (2r + -5t) * 3 Remove parenthesis around (2r + -5t) 2r + -5t = (2r + -5t) * 3 Reorder the terms for easier multiplication: 2r + -5t = 3(2r + -5t) 2r + -5t = (2r * 3 + -5t * 3) 2r + -5t = (6r + -15t) Solving 2r + -5t = 6r + -15t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 2r + -6r + -5t = 6r + -6r + -15t Combine like terms: 2r + -6r = -4r -4r + -5t = 6r + -6r + -15t Combine like terms: 6r + -6r = 0 -4r + -5t = 0 + -15t -4r + -5t = -15t Add '5t' to each side of the equation. -4r + -5t + 5t = -15t + 5t Combine like terms: -5t + 5t = 0 -4r + 0 = -15t + 5t -4r = -15t + 5t Combine like terms: -15t + 5t = -10t -4r = -10t Divide each side by '-4'. r = 2.5t Simplifying r = 2.5t
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