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Simplifying 5(t + -1) + 8t = 7t + -4 Reorder the terms: 5(-1 + t) + 8t = 7t + -4 (-1 * 5 + t * 5) + 8t = 7t + -4 (-5 + 5t) + 8t = 7t + -4 Combine like terms: 5t + 8t = 13t -5 + 13t = 7t + -4 Reorder the terms: -5 + 13t = -4 + 7t Solving -5 + 13t = -4 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -5 + 13t + -7t = -4 + 7t + -7t Combine like terms: 13t + -7t = 6t -5 + 6t = -4 + 7t + -7t Combine like terms: 7t + -7t = 0 -5 + 6t = -4 + 0 -5 + 6t = -4 Add '5' to each side of the equation. -5 + 5 + 6t = -4 + 5 Combine like terms: -5 + 5 = 0 0 + 6t = -4 + 5 6t = -4 + 5 Combine like terms: -4 + 5 = 1 6t = 1 Divide each side by '6'. t = 0.1666666667 Simplifying t = 0.1666666667
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