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Simplifying -1t + 3t + -5 + 7t = t + 19 Reorder the terms: -5 + -1t + 3t + 7t = t + 19 Combine like terms: -1t + 3t = 2t -5 + 2t + 7t = t + 19 Combine like terms: 2t + 7t = 9t -5 + 9t = t + 19 Reorder the terms: -5 + 9t = 19 + t Solving -5 + 9t = 19 + t 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. -5 + 9t + -1t = 19 + t + -1t Combine like terms: 9t + -1t = 8t -5 + 8t = 19 + t + -1t Combine like terms: t + -1t = 0 -5 + 8t = 19 + 0 -5 + 8t = 19 Add '5' to each side of the equation. -5 + 5 + 8t = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 8t = 19 + 5 8t = 19 + 5 Combine like terms: 19 + 5 = 24 8t = 24 Divide each side by '8'. t = 3 Simplifying t = 3
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