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Simplifying 7t + 11 = 9(t + -13) Reorder the terms: 11 + 7t = 9(t + -13) Reorder the terms: 11 + 7t = 9(-13 + t) 11 + 7t = (-13 * 9 + t * 9) 11 + 7t = (-117 + 9t) Solving 11 + 7t = -117 + 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. 11 + 7t + -9t = -117 + 9t + -9t Combine like terms: 7t + -9t = -2t 11 + -2t = -117 + 9t + -9t Combine like terms: 9t + -9t = 0 11 + -2t = -117 + 0 11 + -2t = -117 Add '-11' to each side of the equation. 11 + -11 + -2t = -117 + -11 Combine like terms: 11 + -11 = 0 0 + -2t = -117 + -11 -2t = -117 + -11 Combine like terms: -117 + -11 = -128 -2t = -128 Divide each side by '-2'. t = 64 Simplifying t = 64
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