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Simplifying 7(t + 3) = -2(5 + -2t) Reorder the terms: 7(3 + t) = -2(5 + -2t) (3 * 7 + t * 7) = -2(5 + -2t) (21 + 7t) = -2(5 + -2t) 21 + 7t = (5 * -2 + -2t * -2) 21 + 7t = (-10 + 4t) Solving 21 + 7t = -10 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 21 + 7t + -4t = -10 + 4t + -4t Combine like terms: 7t + -4t = 3t 21 + 3t = -10 + 4t + -4t Combine like terms: 4t + -4t = 0 21 + 3t = -10 + 0 21 + 3t = -10 Add '-21' to each side of the equation. 21 + -21 + 3t = -10 + -21 Combine like terms: 21 + -21 = 0 0 + 3t = -10 + -21 3t = -10 + -21 Combine like terms: -10 + -21 = -31 3t = -31 Divide each side by '3'. t = -10.33333333 Simplifying t = -10.33333333
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