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Simplifying 7(t + -2) + -1t = 12t Reorder the terms: 7(-2 + t) + -1t = 12t (-2 * 7 + t * 7) + -1t = 12t (-14 + 7t) + -1t = 12t Combine like terms: 7t + -1t = 6t -14 + 6t = 12t Solving -14 + 6t = 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -14 + 6t + -12t = 12t + -12t Combine like terms: 6t + -12t = -6t -14 + -6t = 12t + -12t Combine like terms: 12t + -12t = 0 -14 + -6t = 0 Add '14' to each side of the equation. -14 + 14 + -6t = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -6t = 0 + 14 -6t = 0 + 14 Combine like terms: 0 + 14 = 14 -6t = 14 Divide each side by '-6'. t = -2.333333333 Simplifying t = -2.333333333
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