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Simplifying -7(t + -7) + -1(t + 2) = 1 Reorder the terms: -7(-7 + t) + -1(t + 2) = 1 (-7 * -7 + t * -7) + -1(t + 2) = 1 (49 + -7t) + -1(t + 2) = 1 Reorder the terms: 49 + -7t + -1(2 + t) = 1 49 + -7t + (2 * -1 + t * -1) = 1 49 + -7t + (-2 + -1t) = 1 Reorder the terms: 49 + -2 + -7t + -1t = 1 Combine like terms: 49 + -2 = 47 47 + -7t + -1t = 1 Combine like terms: -7t + -1t = -8t 47 + -8t = 1 Solving 47 + -8t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -8t = 1 + -47 Combine like terms: 47 + -47 = 0 0 + -8t = 1 + -47 -8t = 1 + -47 Combine like terms: 1 + -47 = -46 -8t = -46 Divide each side by '-8'. t = 5.75 Simplifying t = 5.75
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