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Simplifying 14(9 + 3t) + -12 = -6 (9 * 14 + 3t * 14) + -12 = -6 (126 + 42t) + -12 = -6 Reorder the terms: 126 + -12 + 42t = -6 Combine like terms: 126 + -12 = 114 114 + 42t = -6 Solving 114 + 42t = -6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-114' to each side of the equation. 114 + -114 + 42t = -6 + -114 Combine like terms: 114 + -114 = 0 0 + 42t = -6 + -114 42t = -6 + -114 Combine like terms: -6 + -114 = -120 42t = -120 Divide each side by '42'. t = -2.857142857 Simplifying t = -2.857142857
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