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Simplifying 6t + -17 = -45 + 2t Reorder the terms: -17 + 6t = -45 + 2t Solving -17 + 6t = -45 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -17 + 6t + -2t = -45 + 2t + -2t Combine like terms: 6t + -2t = 4t -17 + 4t = -45 + 2t + -2t Combine like terms: 2t + -2t = 0 -17 + 4t = -45 + 0 -17 + 4t = -45 Add '17' to each side of the equation. -17 + 17 + 4t = -45 + 17 Combine like terms: -17 + 17 = 0 0 + 4t = -45 + 17 4t = -45 + 17 Combine like terms: -45 + 17 = -28 4t = -28 Divide each side by '4'. t = -7 Simplifying t = -7
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