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Simplifying 7(t + -2) = 5 + -4t Reorder the terms: 7(-2 + t) = 5 + -4t (-2 * 7 + t * 7) = 5 + -4t (-14 + 7t) = 5 + -4t Solving -14 + 7t = 5 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. -14 + 7t + 4t = 5 + -4t + 4t Combine like terms: 7t + 4t = 11t -14 + 11t = 5 + -4t + 4t Combine like terms: -4t + 4t = 0 -14 + 11t = 5 + 0 -14 + 11t = 5 Add '14' to each side of the equation. -14 + 14 + 11t = 5 + 14 Combine like terms: -14 + 14 = 0 0 + 11t = 5 + 14 11t = 5 + 14 Combine like terms: 5 + 14 = 19 11t = 19 Divide each side by '11'. t = 1.727272727 Simplifying t = 1.727272727
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