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Simplifying t + 8 = -12(t + 1) Reorder the terms: 8 + t = -12(t + 1) Reorder the terms: 8 + t = -12(1 + t) 8 + t = (1 * -12 + t * -12) 8 + t = (-12 + -12t) Solving 8 + t = -12 + -12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12t' to each side of the equation. 8 + t + 12t = -12 + -12t + 12t Combine like terms: t + 12t = 13t 8 + 13t = -12 + -12t + 12t Combine like terms: -12t + 12t = 0 8 + 13t = -12 + 0 8 + 13t = -12 Add '-8' to each side of the equation. 8 + -8 + 13t = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 13t = -12 + -8 13t = -12 + -8 Combine like terms: -12 + -8 = -20 13t = -20 Divide each side by '13'. t = -1.538461538 Simplifying t = -1.538461538
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