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Simplifying -1(7t + 1) + -6 = 1 + 9t Reorder the terms: -1(1 + 7t) + -6 = 1 + 9t (1 * -1 + 7t * -1) + -6 = 1 + 9t (-1 + -7t) + -6 = 1 + 9t Reorder the terms: -1 + -6 + -7t = 1 + 9t Combine like terms: -1 + -6 = -7 -7 + -7t = 1 + 9t Solving -7 + -7t = 1 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -7 + -7t + -9t = 1 + 9t + -9t Combine like terms: -7t + -9t = -16t -7 + -16t = 1 + 9t + -9t Combine like terms: 9t + -9t = 0 -7 + -16t = 1 + 0 -7 + -16t = 1 Add '7' to each side of the equation. -7 + 7 + -16t = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -16t = 1 + 7 -16t = 1 + 7 Combine like terms: 1 + 7 = 8 -16t = 8 Divide each side by '-16'. t = -0.5 Simplifying t = -0.5
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