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Simplifying 4(t + 7) = 8 + -2t Reorder the terms: 4(7 + t) = 8 + -2t (7 * 4 + t * 4) = 8 + -2t (28 + 4t) = 8 + -2t Solving 28 + 4t = 8 + -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. 28 + 4t + 2t = 8 + -2t + 2t Combine like terms: 4t + 2t = 6t 28 + 6t = 8 + -2t + 2t Combine like terms: -2t + 2t = 0 28 + 6t = 8 + 0 28 + 6t = 8 Add '-28' to each side of the equation. 28 + -28 + 6t = 8 + -28 Combine like terms: 28 + -28 = 0 0 + 6t = 8 + -28 6t = 8 + -28 Combine like terms: 8 + -28 = -20 6t = -20 Divide each side by '6'. t = -3.333333333 Simplifying t = -3.333333333
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