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Simplifying 7(t + 11) = 9(t + -17) Reorder the terms: 7(11 + t) = 9(t + -17) (11 * 7 + t * 7) = 9(t + -17) (77 + 7t) = 9(t + -17) Reorder the terms: 77 + 7t = 9(-17 + t) 77 + 7t = (-17 * 9 + t * 9) 77 + 7t = (-153 + 9t) Solving 77 + 7t = -153 + 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. 77 + 7t + -9t = -153 + 9t + -9t Combine like terms: 7t + -9t = -2t 77 + -2t = -153 + 9t + -9t Combine like terms: 9t + -9t = 0 77 + -2t = -153 + 0 77 + -2t = -153 Add '-77' to each side of the equation. 77 + -77 + -2t = -153 + -77 Combine like terms: 77 + -77 = 0 0 + -2t = -153 + -77 -2t = -153 + -77 Combine like terms: -153 + -77 = -230 -2t = -230 Divide each side by '-2'. t = 115 Simplifying t = 115
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