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Simplifying -7(t + 8) + -1(t + 1) = 11 Reorder the terms: -7(8 + t) + -1(t + 1) = 11 (8 * -7 + t * -7) + -1(t + 1) = 11 (-56 + -7t) + -1(t + 1) = 11 Reorder the terms: -56 + -7t + -1(1 + t) = 11 -56 + -7t + (1 * -1 + t * -1) = 11 -56 + -7t + (-1 + -1t) = 11 Reorder the terms: -56 + -1 + -7t + -1t = 11 Combine like terms: -56 + -1 = -57 -57 + -7t + -1t = 11 Combine like terms: -7t + -1t = -8t -57 + -8t = 11 Solving -57 + -8t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + -8t = 11 + 57 Combine like terms: -57 + 57 = 0 0 + -8t = 11 + 57 -8t = 11 + 57 Combine like terms: 11 + 57 = 68 -8t = 68 Divide each side by '-8'. t = -8.5 Simplifying t = -8.5
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