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Simplifying 8(t + 1) = 4t + -8 Reorder the terms: 8(1 + t) = 4t + -8 (1 * 8 + t * 8) = 4t + -8 (8 + 8t) = 4t + -8 Reorder the terms: 8 + 8t = -8 + 4t Solving 8 + 8t = -8 + 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. 8 + 8t + -4t = -8 + 4t + -4t Combine like terms: 8t + -4t = 4t 8 + 4t = -8 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + 4t = -8 + 0 8 + 4t = -8 Add '-8' to each side of the equation. 8 + -8 + 4t = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 4t = -8 + -8 4t = -8 + -8 Combine like terms: -8 + -8 = -16 4t = -16 Divide each side by '4'. t = -4 Simplifying t = -4
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