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Simplifying 5(t + 2) = -2t + -3 Reorder the terms: 5(2 + t) = -2t + -3 (2 * 5 + t * 5) = -2t + -3 (10 + 5t) = -2t + -3 Reorder the terms: 10 + 5t = -3 + -2t Solving 10 + 5t = -3 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 10 + 5t + 2t = -3 + -2t + 2t Combine like terms: 5t + 2t = 7t 10 + 7t = -3 + -2t + 2t Combine like terms: -2t + 2t = 0 10 + 7t = -3 + 0 10 + 7t = -3 Add '-10' to each side of the equation. 10 + -10 + 7t = -3 + -10 Combine like terms: 10 + -10 = 0 0 + 7t = -3 + -10 7t = -3 + -10 Combine like terms: -3 + -10 = -13 7t = -13 Divide each side by '7'. t = -1.857142857 Simplifying t = -1.857142857
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