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Simplifying 5 + 4(t + -2) + t = 5(t + -1) + -7t Reorder the terms: 5 + 4(-2 + t) + t = 5(t + -1) + -7t 5 + (-2 * 4 + t * 4) + t = 5(t + -1) + -7t 5 + (-8 + 4t) + t = 5(t + -1) + -7t Combine like terms: 5 + -8 = -3 -3 + 4t + t = 5(t + -1) + -7t Combine like terms: 4t + t = 5t -3 + 5t = 5(t + -1) + -7t Reorder the terms: -3 + 5t = 5(-1 + t) + -7t -3 + 5t = (-1 * 5 + t * 5) + -7t -3 + 5t = (-5 + 5t) + -7t Combine like terms: 5t + -7t = -2t -3 + 5t = -5 + -2t Solving -3 + 5t = -5 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -3 + 5t + 2t = -5 + -2t + 2t Combine like terms: 5t + 2t = 7t -3 + 7t = -5 + -2t + 2t Combine like terms: -2t + 2t = 0 -3 + 7t = -5 + 0 -3 + 7t = -5 Add '3' to each side of the equation. -3 + 3 + 7t = -5 + 3 Combine like terms: -3 + 3 = 0 0 + 7t = -5 + 3 7t = -5 + 3 Combine like terms: -5 + 3 = -2 7t = -2 Divide each side by '7'. t = -0.2857142857 Simplifying t = -0.2857142857
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