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Simplifying 5(t + -4) + 7t = 5t + -5 Reorder the terms: 5(-4 + t) + 7t = 5t + -5 (-4 * 5 + t * 5) + 7t = 5t + -5 (-20 + 5t) + 7t = 5t + -5 Combine like terms: 5t + 7t = 12t -20 + 12t = 5t + -5 Reorder the terms: -20 + 12t = -5 + 5t Solving -20 + 12t = -5 + 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. -20 + 12t + -5t = -5 + 5t + -5t Combine like terms: 12t + -5t = 7t -20 + 7t = -5 + 5t + -5t Combine like terms: 5t + -5t = 0 -20 + 7t = -5 + 0 -20 + 7t = -5 Add '20' to each side of the equation. -20 + 20 + 7t = -5 + 20 Combine like terms: -20 + 20 = 0 0 + 7t = -5 + 20 7t = -5 + 20 Combine like terms: -5 + 20 = 15 7t = 15 Divide each side by '7'. t = 2.142857143 Simplifying t = 2.142857143
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