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Simplifying (7t + -21) + (t + 4) = 15 Reorder the terms: (-21 + 7t) + (t + 4) = 15 Remove parenthesis around (-21 + 7t) -21 + 7t + (t + 4) = 15 Reorder the terms: -21 + 7t + (4 + t) = 15 Remove parenthesis around (4 + t) -21 + 7t + 4 + t = 15 Reorder the terms: -21 + 4 + 7t + t = 15 Combine like terms: -21 + 4 = -17 -17 + 7t + t = 15 Combine like terms: 7t + t = 8t -17 + 8t = 15 Solving -17 + 8t = 15 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 8t = 15 + 17 Combine like terms: -17 + 17 = 0 0 + 8t = 15 + 17 8t = 15 + 17 Combine like terms: 15 + 17 = 32 8t = 32 Divide each side by '8'. t = 4 Simplifying t = 4
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