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Simplifying 7(t + 3) + -2 = 5(t + -2) + 5 Reorder the terms: 7(3 + t) + -2 = 5(t + -2) + 5 (3 * 7 + t * 7) + -2 = 5(t + -2) + 5 (21 + 7t) + -2 = 5(t + -2) + 5 Reorder the terms: 21 + -2 + 7t = 5(t + -2) + 5 Combine like terms: 21 + -2 = 19 19 + 7t = 5(t + -2) + 5 Reorder the terms: 19 + 7t = 5(-2 + t) + 5 19 + 7t = (-2 * 5 + t * 5) + 5 19 + 7t = (-10 + 5t) + 5 Reorder the terms: 19 + 7t = -10 + 5 + 5t Combine like terms: -10 + 5 = -5 19 + 7t = -5 + 5t Solving 19 + 7t = -5 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 19 + 7t + -5t = -5 + 5t + -5t Combine like terms: 7t + -5t = 2t 19 + 2t = -5 + 5t + -5t Combine like terms: 5t + -5t = 0 19 + 2t = -5 + 0 19 + 2t = -5 Add '-19' to each side of the equation. 19 + -19 + 2t = -5 + -19 Combine like terms: 19 + -19 = 0 0 + 2t = -5 + -19 2t = -5 + -19 Combine like terms: -5 + -19 = -24 2t = -24 Divide each side by '2'. t = -12 Simplifying t = -12
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