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Simplifying 10t + -19 = 2t + -1 Reorder the terms: -19 + 10t = 2t + -1 Reorder the terms: -19 + 10t = -1 + 2t Solving -19 + 10t = -1 + 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. -19 + 10t + -2t = -1 + 2t + -2t Combine like terms: 10t + -2t = 8t -19 + 8t = -1 + 2t + -2t Combine like terms: 2t + -2t = 0 -19 + 8t = -1 + 0 -19 + 8t = -1 Add '19' to each side of the equation. -19 + 19 + 8t = -1 + 19 Combine like terms: -19 + 19 = 0 0 + 8t = -1 + 19 8t = -1 + 19 Combine like terms: -1 + 19 = 18 8t = 18 Divide each side by '8'. t = 2.25 Simplifying t = 2.25
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