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Simplifying 5t + -13 = -40 + 8t Reorder the terms: -13 + 5t = -40 + 8t Solving -13 + 5t = -40 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -13 + 5t + -8t = -40 + 8t + -8t Combine like terms: 5t + -8t = -3t -13 + -3t = -40 + 8t + -8t Combine like terms: 8t + -8t = 0 -13 + -3t = -40 + 0 -13 + -3t = -40 Add '13' to each side of the equation. -13 + 13 + -3t = -40 + 13 Combine like terms: -13 + 13 = 0 0 + -3t = -40 + 13 -3t = -40 + 13 Combine like terms: -40 + 13 = -27 -3t = -27 Divide each side by '-3'. t = 9 Simplifying t = 9
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