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Simplifying 2(t + 5) = 4 + -7t + -21 Reorder the terms: 2(5 + t) = 4 + -7t + -21 (5 * 2 + t * 2) = 4 + -7t + -21 (10 + 2t) = 4 + -7t + -21 Reorder the terms: 10 + 2t = 4 + -21 + -7t Combine like terms: 4 + -21 = -17 10 + 2t = -17 + -7t Solving 10 + 2t = -17 + -7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7t' to each side of the equation. 10 + 2t + 7t = -17 + -7t + 7t Combine like terms: 2t + 7t = 9t 10 + 9t = -17 + -7t + 7t Combine like terms: -7t + 7t = 0 10 + 9t = -17 + 0 10 + 9t = -17 Add '-10' to each side of the equation. 10 + -10 + 9t = -17 + -10 Combine like terms: 10 + -10 = 0 0 + 9t = -17 + -10 9t = -17 + -10 Combine like terms: -17 + -10 = -27 9t = -27 Divide each side by '9'. t = -3 Simplifying t = -3
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