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Simplifying 3(x + 6) + 8t = 0 Reorder the terms: 3(6 + x) + 8t = 0 (6 * 3 + x * 3) + 8t = 0 (18 + 3x) + 8t = 0 Reorder the terms: 18 + 8t + 3x = 0 Solving 18 + 8t + 3x = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 8t + -18 + 3x = 0 + -18 Reorder the terms: 18 + -18 + 8t + 3x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 8t + 3x = 0 + -18 8t + 3x = 0 + -18 Combine like terms: 0 + -18 = -18 8t + 3x = -18 Add '-3x' to each side of the equation. 8t + 3x + -3x = -18 + -3x Combine like terms: 3x + -3x = 0 8t + 0 = -18 + -3x 8t = -18 + -3x Divide each side by '8'. t = -2.25 + -0.375x Simplifying t = -2.25 + -0.375x
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