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Simplifying (t + 8)(-2) = 13 Reorder the terms: (8 + t)(-2) = 13 Reorder the terms for easier multiplication: -2(8 + t) = 13 (8 * -2 + t * -2) = 13 (-16 + -2t) = 13 Solving -16 + -2t = 13 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 = 13 + 16 Combine like terms: -16 + 16 = 0 0 + -2t = 13 + 16 -2t = 13 + 16 Combine like terms: 13 + 16 = 29 -2t = 29 Divide each side by '-2'. t = -14.5 Simplifying t = -14.5
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