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Simplifying (7t + -21) + (r + 4) = 15 Reorder the terms: (-21 + 7t) + (r + 4) = 15 Remove parenthesis around (-21 + 7t) -21 + 7t + (r + 4) = 15 Reorder the terms: -21 + 7t + (4 + r) = 15 Remove parenthesis around (4 + r) -21 + 7t + 4 + r = 15 Reorder the terms: -21 + 4 + r + 7t = 15 Combine like terms: -21 + 4 = -17 -17 + r + 7t = 15 Solving -17 + r + 7t = 15 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '17' to each side of the equation. -17 + r + 17 + 7t = 15 + 17 Reorder the terms: -17 + 17 + r + 7t = 15 + 17 Combine like terms: -17 + 17 = 0 0 + r + 7t = 15 + 17 r + 7t = 15 + 17 Combine like terms: 15 + 17 = 32 r + 7t = 32 Add '-7t' to each side of the equation. r + 7t + -7t = 32 + -7t Combine like terms: 7t + -7t = 0 r + 0 = 32 + -7t r = 32 + -7t Simplifying r = 32 + -7t
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