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Simplifying 5(t + -3) + -2r = -30 Reorder the terms: 5(-3 + t) + -2r = -30 (-3 * 5 + t * 5) + -2r = -30 (-15 + 5t) + -2r = -30 Reorder the terms: -15 + -2r + 5t = -30 Solving -15 + -2r + 5t = -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 + -2r + 15 + 5t = -30 + 15 Reorder the terms: -15 + 15 + -2r + 5t = -30 + 15 Combine like terms: -15 + 15 = 0 0 + -2r + 5t = -30 + 15 -2r + 5t = -30 + 15 Combine like terms: -30 + 15 = -15 -2r + 5t = -15 Add '-5t' to each side of the equation. -2r + 5t + -5t = -15 + -5t Combine like terms: 5t + -5t = 0 -2r + 0 = -15 + -5t -2r = -15 + -5t Divide each side by '-2'. r = 7.5 + 2.5t Simplifying r = 7.5 + 2.5t
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