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Simplifying 5(t + -1) = 8t + -7 Reorder the terms: 5(-1 + t) = 8t + -7 (-1 * 5 + t * 5) = 8t + -7 (-5 + 5t) = 8t + -7 Reorder the terms: -5 + 5t = -7 + 8t Solving -5 + 5t = -7 + 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. -5 + 5t + -8t = -7 + 8t + -8t Combine like terms: 5t + -8t = -3t -5 + -3t = -7 + 8t + -8t Combine like terms: 8t + -8t = 0 -5 + -3t = -7 + 0 -5 + -3t = -7 Add '5' to each side of the equation. -5 + 5 + -3t = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -3t = -7 + 5 -3t = -7 + 5 Combine like terms: -7 + 5 = -2 -3t = -2 Divide each side by '-3'. t = 0.6666666667 Simplifying t = 0.6666666667
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