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Simplifying 7(t + 5) + 4(t + -2) = -12 Reorder the terms: 7(5 + t) + 4(t + -2) = -12 (5 * 7 + t * 7) + 4(t + -2) = -12 (35 + 7t) + 4(t + -2) = -12 Reorder the terms: 35 + 7t + 4(-2 + t) = -12 35 + 7t + (-2 * 4 + t * 4) = -12 35 + 7t + (-8 + 4t) = -12 Reorder the terms: 35 + -8 + 7t + 4t = -12 Combine like terms: 35 + -8 = 27 27 + 7t + 4t = -12 Combine like terms: 7t + 4t = 11t 27 + 11t = -12 Solving 27 + 11t = -12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 11t = -12 + -27 Combine like terms: 27 + -27 = 0 0 + 11t = -12 + -27 11t = -12 + -27 Combine like terms: -12 + -27 = -39 11t = -39 Divide each side by '11'. t = -3.545454545 Simplifying t = -3.545454545
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