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Simplifying 4(t + -2) + 3(t + 1) = 0 Reorder the terms: 4(-2 + t) + 3(t + 1) = 0 (-2 * 4 + t * 4) + 3(t + 1) = 0 (-8 + 4t) + 3(t + 1) = 0 Reorder the terms: -8 + 4t + 3(1 + t) = 0 -8 + 4t + (1 * 3 + t * 3) = 0 -8 + 4t + (3 + 3t) = 0 Reorder the terms: -8 + 3 + 4t + 3t = 0 Combine like terms: -8 + 3 = -5 -5 + 4t + 3t = 0 Combine like terms: 4t + 3t = 7t -5 + 7t = 0 Solving -5 + 7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7t = 0 + 5 7t = 0 + 5 Combine like terms: 0 + 5 = 5 7t = 5 Divide each side by '7'. t = 0.7142857143 Simplifying t = 0.7142857143
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