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Simplifying 7(4 + t) + -2(t + 2) = 0 (4 * 7 + t * 7) + -2(t + 2) = 0 (28 + 7t) + -2(t + 2) = 0 Reorder the terms: 28 + 7t + -2(2 + t) = 0 28 + 7t + (2 * -2 + t * -2) = 0 28 + 7t + (-4 + -2t) = 0 Reorder the terms: 28 + -4 + 7t + -2t = 0 Combine like terms: 28 + -4 = 24 24 + 7t + -2t = 0 Combine like terms: 7t + -2t = 5t 24 + 5t = 0 Solving 24 + 5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 5t = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 5t = 0 + -24 5t = 0 + -24 Combine like terms: 0 + -24 = -24 5t = -24 Divide each side by '5'. t = -4.8 Simplifying t = -4.8
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