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Simplifying 7 + -13 + -2t = 9 + 5t Combine like terms: 7 + -13 = -6 -6 + -2t = 9 + 5t Solving -6 + -2t = 9 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -6 + -2t + -5t = 9 + 5t + -5t Combine like terms: -2t + -5t = -7t -6 + -7t = 9 + 5t + -5t Combine like terms: 5t + -5t = 0 -6 + -7t = 9 + 0 -6 + -7t = 9 Add '6' to each side of the equation. -6 + 6 + -7t = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -7t = 9 + 6 -7t = 9 + 6 Combine like terms: 9 + 6 = 15 -7t = 15 Divide each side by '-7'. t = -2.142857143 Simplifying t = -2.142857143
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