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Simplifying -4 + 11 = 9t + -8(t + -7) Combine like terms: -4 + 11 = 7 7 = 9t + -8(t + -7) Reorder the terms: 7 = 9t + -8(-7 + t) 7 = 9t + (-7 * -8 + t * -8) 7 = 9t + (56 + -8t) Reorder the terms: 7 = 56 + 9t + -8t Combine like terms: 9t + -8t = 1t 7 = 56 + 1t Solving 7 = 56 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 7 + -1t = 56 + 1t + -1t Combine like terms: 1t + -1t = 0 7 + -1t = 56 + 0 7 + -1t = 56 Add '-7' to each side of the equation. 7 + -7 + -1t = 56 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 56 + -7 -1t = 56 + -7 Combine like terms: 56 + -7 = 49 -1t = 49 Divide each side by '-1'. t = -49 Simplifying t = -49
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