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Simplifying -7(t + -2) + -1(t + 8) = 8 Reorder the terms: -7(-2 + t) + -1(t + 8) = 8 (-2 * -7 + t * -7) + -1(t + 8) = 8 (14 + -7t) + -1(t + 8) = 8 Reorder the terms: 14 + -7t + -1(8 + t) = 8 14 + -7t + (8 * -1 + t * -1) = 8 14 + -7t + (-8 + -1t) = 8 Reorder the terms: 14 + -8 + -7t + -1t = 8 Combine like terms: 14 + -8 = 6 6 + -7t + -1t = 8 Combine like terms: -7t + -1t = -8t 6 + -8t = 8 Solving 6 + -8t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -8t = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -8t = 8 + -6 -8t = 8 + -6 Combine like terms: 8 + -6 = 2 -8t = 2 Divide each side by '-8'. t = -0.25 Simplifying t = -0.25
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