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Simplifying 5(t + -2) + 7t = 4t + -3 Reorder the terms: 5(-2 + t) + 7t = 4t + -3 (-2 * 5 + t * 5) + 7t = 4t + -3 (-10 + 5t) + 7t = 4t + -3 Combine like terms: 5t + 7t = 12t -10 + 12t = 4t + -3 Reorder the terms: -10 + 12t = -3 + 4t Solving -10 + 12t = -3 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -10 + 12t + -4t = -3 + 4t + -4t Combine like terms: 12t + -4t = 8t -10 + 8t = -3 + 4t + -4t Combine like terms: 4t + -4t = 0 -10 + 8t = -3 + 0 -10 + 8t = -3 Add '10' to each side of the equation. -10 + 10 + 8t = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 8t = -3 + 10 8t = -3 + 10 Combine like terms: -3 + 10 = 7 8t = 7 Divide each side by '8'. t = 0.875 Simplifying t = 0.875
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