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Simplifying 7t + 5(2 + -3t) = 0 7t + (2 * 5 + -3t * 5) = 0 7t + (10 + -15t) = 0 Reorder the terms: 10 + 7t + -15t = 0 Combine like terms: 7t + -15t = -8t 10 + -8t = 0 Solving 10 + -8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -8t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -8t = 0 + -10 -8t = 0 + -10 Combine like terms: 0 + -10 = -10 -8t = -10 Divide each side by '-8'. t = 1.25 Simplifying t = 1.25
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