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Simplifying -3(t + 5) + (4r + 2) = 8 Reorder the terms: -3(5 + t) + (4r + 2) = 8 (5 * -3 + t * -3) + (4r + 2) = 8 (-15 + -3t) + (4r + 2) = 8 Reorder the terms: -15 + -3t + (2 + 4r) = 8 Remove parenthesis around (2 + 4r) -15 + -3t + 2 + 4r = 8 Reorder the terms: -15 + 2 + 4r + -3t = 8 Combine like terms: -15 + 2 = -13 -13 + 4r + -3t = 8 Solving -13 + 4r + -3t = 8 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 4r + 13 + -3t = 8 + 13 Reorder the terms: -13 + 13 + 4r + -3t = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 4r + -3t = 8 + 13 4r + -3t = 8 + 13 Combine like terms: 8 + 13 = 21 4r + -3t = 21 Add '3t' to each side of the equation. 4r + -3t + 3t = 21 + 3t Combine like terms: -3t + 3t = 0 4r + 0 = 21 + 3t 4r = 21 + 3t Divide each side by '4'. r = 5.25 + 0.75t Simplifying r = 5.25 + 0.75t
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