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Simplifying [t + 8][-2] = 12 Reorder the terms: [8 + t][-2] = 12 Reorder the terms for easier multiplication: -2[8 + t] = 12 [8 * -2 + t * -2] = 12 [-16 + -2t] = 12 Solving -16 + -2t = 12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -2t = 12 + 16 Combine like terms: -16 + 16 = 0 0 + -2t = 12 + 16 -2t = 12 + 16 Combine like terms: 12 + 16 = 28 -2t = 28 Divide each side by '-2'. t = -14 Simplifying t = -14
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