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Simplifying 5(3 + 6t) + 7t = 0 (3 * 5 + 6t * 5) + 7t = 0 (15 + 30t) + 7t = 0 Combine like terms: 30t + 7t = 37t 15 + 37t = 0 Solving 15 + 37t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 37t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 37t = 0 + -15 37t = 0 + -15 Combine like terms: 0 + -15 = -15 37t = -15 Divide each side by '37'. t = -0.4054054054 Simplifying t = -0.4054054054
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