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Simplifying -7(t + -8) + -1(t + 8) = 2 Reorder the terms: -7(-8 + t) + -1(t + 8) = 2 (-8 * -7 + t * -7) + -1(t + 8) = 2 (56 + -7t) + -1(t + 8) = 2 Reorder the terms: 56 + -7t + -1(8 + t) = 2 56 + -7t + (8 * -1 + t * -1) = 2 56 + -7t + (-8 + -1t) = 2 Reorder the terms: 56 + -8 + -7t + -1t = 2 Combine like terms: 56 + -8 = 48 48 + -7t + -1t = 2 Combine like terms: -7t + -1t = -8t 48 + -8t = 2 Solving 48 + -8t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -8t = 2 + -48 Combine like terms: 48 + -48 = 0 0 + -8t = 2 + -48 -8t = 2 + -48 Combine like terms: 2 + -48 = -46 -8t = -46 Divide each side by '-8'. t = 5.75 Simplifying t = 5.75
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