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Simplifying 5(t + -2) + -4 = 2t Reorder the terms: 5(-2 + t) + -4 = 2t (-2 * 5 + t * 5) + -4 = 2t (-10 + 5t) + -4 = 2t Reorder the terms: -10 + -4 + 5t = 2t Combine like terms: -10 + -4 = -14 -14 + 5t = 2t Solving -14 + 5t = 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -14 + 5t + -2t = 2t + -2t Combine like terms: 5t + -2t = 3t -14 + 3t = 2t + -2t Combine like terms: 2t + -2t = 0 -14 + 3t = 0 Add '14' to each side of the equation. -14 + 14 + 3t = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3t = 0 + 14 3t = 0 + 14 Combine like terms: 0 + 14 = 14 3t = 14 Divide each side by '3'. t = 4.666666667 Simplifying t = 4.666666667
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