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Simplifying 9(t + -9) + -11 = -6t + 10 Reorder the terms: 9(-9 + t) + -11 = -6t + 10 (-9 * 9 + t * 9) + -11 = -6t + 10 (-81 + 9t) + -11 = -6t + 10 Reorder the terms: -81 + -11 + 9t = -6t + 10 Combine like terms: -81 + -11 = -92 -92 + 9t = -6t + 10 Reorder the terms: -92 + 9t = 10 + -6t Solving -92 + 9t = 10 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. -92 + 9t + 6t = 10 + -6t + 6t Combine like terms: 9t + 6t = 15t -92 + 15t = 10 + -6t + 6t Combine like terms: -6t + 6t = 0 -92 + 15t = 10 + 0 -92 + 15t = 10 Add '92' to each side of the equation. -92 + 92 + 15t = 10 + 92 Combine like terms: -92 + 92 = 0 0 + 15t = 10 + 92 15t = 10 + 92 Combine like terms: 10 + 92 = 102 15t = 102 Divide each side by '15'. t = 6.8 Simplifying t = 6.8
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