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Simplifying 10 + -7t + 1 = -3t + -9 Reorder the terms: 10 + 1 + -7t = -3t + -9 Combine like terms: 10 + 1 = 11 11 + -7t = -3t + -9 Reorder the terms: 11 + -7t = -9 + -3t Solving 11 + -7t = -9 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 11 + -7t + 3t = -9 + -3t + 3t Combine like terms: -7t + 3t = -4t 11 + -4t = -9 + -3t + 3t Combine like terms: -3t + 3t = 0 11 + -4t = -9 + 0 11 + -4t = -9 Add '-11' to each side of the equation. 11 + -11 + -4t = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -4t = -9 + -11 -4t = -9 + -11 Combine like terms: -9 + -11 = -20 -4t = -20 Divide each side by '-4'. t = 5 Simplifying t = 5
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