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Simplifying 7(2t + -1) = 4t + -2 Reorder the terms: 7(-1 + 2t) = 4t + -2 (-1 * 7 + 2t * 7) = 4t + -2 (-7 + 14t) = 4t + -2 Reorder the terms: -7 + 14t = -2 + 4t Solving -7 + 14t = -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. -7 + 14t + -4t = -2 + 4t + -4t Combine like terms: 14t + -4t = 10t -7 + 10t = -2 + 4t + -4t Combine like terms: 4t + -4t = 0 -7 + 10t = -2 + 0 -7 + 10t = -2 Add '7' to each side of the equation. -7 + 7 + 10t = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 10t = -2 + 7 10t = -2 + 7 Combine like terms: -2 + 7 = 5 10t = 5 Divide each side by '10'. t = 0.5 Simplifying t = 0.5
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