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Simplifying 19 + -38 + -9 + 11 = -1t + -6 + 2t + -6 Combine like terms: 19 + -38 = -19 -19 + -9 + 11 = -1t + -6 + 2t + -6 Combine like terms: -19 + -9 = -28 -28 + 11 = -1t + -6 + 2t + -6 Combine like terms: -28 + 11 = -17 -17 = -1t + -6 + 2t + -6 Reorder the terms: -17 = -6 + -6 + -1t + 2t Combine like terms: -6 + -6 = -12 -17 = -12 + -1t + 2t Combine like terms: -1t + 2t = 1t -17 = -12 + 1t Solving -17 = -12 + 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. -17 + -1t = -12 + 1t + -1t Combine like terms: 1t + -1t = 0 -17 + -1t = -12 + 0 -17 + -1t = -12 Add '17' to each side of the equation. -17 + 17 + -1t = -12 + 17 Combine like terms: -17 + 17 = 0 0 + -1t = -12 + 17 -1t = -12 + 17 Combine like terms: -12 + 17 = 5 -1t = 5 Divide each side by '-1'. t = -5 Simplifying t = -5
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