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Simplifying -2(t + 4) + 6(6 + -3t) = -21(t + -1) + 4 Reorder the terms: -2(4 + t) + 6(6 + -3t) = -21(t + -1) + 4 (4 * -2 + t * -2) + 6(6 + -3t) = -21(t + -1) + 4 (-8 + -2t) + 6(6 + -3t) = -21(t + -1) + 4 -8 + -2t + (6 * 6 + -3t * 6) = -21(t + -1) + 4 -8 + -2t + (36 + -18t) = -21(t + -1) + 4 Reorder the terms: -8 + 36 + -2t + -18t = -21(t + -1) + 4 Combine like terms: -8 + 36 = 28 28 + -2t + -18t = -21(t + -1) + 4 Combine like terms: -2t + -18t = -20t 28 + -20t = -21(t + -1) + 4 Reorder the terms: 28 + -20t = -21(-1 + t) + 4 28 + -20t = (-1 * -21 + t * -21) + 4 28 + -20t = (21 + -21t) + 4 Reorder the terms: 28 + -20t = 21 + 4 + -21t Combine like terms: 21 + 4 = 25 28 + -20t = 25 + -21t Solving 28 + -20t = 25 + -21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '21t' to each side of the equation. 28 + -20t + 21t = 25 + -21t + 21t Combine like terms: -20t + 21t = 1t 28 + 1t = 25 + -21t + 21t Combine like terms: -21t + 21t = 0 28 + 1t = 25 + 0 28 + 1t = 25 Add '-28' to each side of the equation. 28 + -28 + 1t = 25 + -28 Combine like terms: 28 + -28 = 0 0 + 1t = 25 + -28 1t = 25 + -28 Combine like terms: 25 + -28 = -3 1t = -3 Divide each side by '1'. t = -3 Simplifying t = -3
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