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Simplifying 8(t + 7) = 32 + 2t Reorder the terms: 8(7 + t) = 32 + 2t (7 * 8 + t * 8) = 32 + 2t (56 + 8t) = 32 + 2t Solving 56 + 8t = 32 + 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. 56 + 8t + -2t = 32 + 2t + -2t Combine like terms: 8t + -2t = 6t 56 + 6t = 32 + 2t + -2t Combine like terms: 2t + -2t = 0 56 + 6t = 32 + 0 56 + 6t = 32 Add '-56' to each side of the equation. 56 + -56 + 6t = 32 + -56 Combine like terms: 56 + -56 = 0 0 + 6t = 32 + -56 6t = 32 + -56 Combine like terms: 32 + -56 = -24 6t = -24 Divide each side by '6'. t = -4 Simplifying t = -4
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