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Simplifying 7(2 + -1t) = 4t + -2 (2 * 7 + -1t * 7) = 4t + -2 (14 + -7t) = 4t + -2 Reorder the terms: 14 + -7t = -2 + 4t Solving 14 + -7t = -2 + 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 = -2 + 4t + -4t Combine like terms: -7t + -4t = -11t 14 + -11t = -2 + 4t + -4t Combine like terms: 4t + -4t = 0 14 + -11t = -2 + 0 14 + -11t = -2 Add '-14' to each side of the equation. 14 + -14 + -11t = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -11t = -2 + -14 -11t = -2 + -14 Combine like terms: -2 + -14 = -16 -11t = -16 Divide each side by '-11'. t = 1.454545455 Simplifying t = 1.454545455
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