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Simplifying 7(2t + 1) + 3(t + -2) = 0 Reorder the terms: 7(1 + 2t) + 3(t + -2) = 0 (1 * 7 + 2t * 7) + 3(t + -2) = 0 (7 + 14t) + 3(t + -2) = 0 Reorder the terms: 7 + 14t + 3(-2 + t) = 0 7 + 14t + (-2 * 3 + t * 3) = 0 7 + 14t + (-6 + 3t) = 0 Reorder the terms: 7 + -6 + 14t + 3t = 0 Combine like terms: 7 + -6 = 1 1 + 14t + 3t = 0 Combine like terms: 14t + 3t = 17t 1 + 17t = 0 Solving 1 + 17t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 17t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 17t = 0 + -1 17t = 0 + -1 Combine like terms: 0 + -1 = -1 17t = -1 Divide each side by '17'. t = -0.05882352941 Simplifying t = -0.05882352941
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