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Simplifying 8(5 + t) + -6(t + 2) = 0 (5 * 8 + t * 8) + -6(t + 2) = 0 (40 + 8t) + -6(t + 2) = 0 Reorder the terms: 40 + 8t + -6(2 + t) = 0 40 + 8t + (2 * -6 + t * -6) = 0 40 + 8t + (-12 + -6t) = 0 Reorder the terms: 40 + -12 + 8t + -6t = 0 Combine like terms: 40 + -12 = 28 28 + 8t + -6t = 0 Combine like terms: 8t + -6t = 2t 28 + 2t = 0 Solving 28 + 2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 2t = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 2t = 0 + -28 2t = 0 + -28 Combine like terms: 0 + -28 = -28 2t = -28 Divide each side by '2'. t = -14 Simplifying t = -14
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