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Simplifying 7(2t + -4) = (7t + -2) + -8 Reorder the terms: 7(-4 + 2t) = (7t + -2) + -8 (-4 * 7 + 2t * 7) = (7t + -2) + -8 (-28 + 14t) = (7t + -2) + -8 Reorder the terms: -28 + 14t = (-2 + 7t) + -8 Remove parenthesis around (-2 + 7t) -28 + 14t = -2 + 7t + -8 Reorder the terms: -28 + 14t = -2 + -8 + 7t Combine like terms: -2 + -8 = -10 -28 + 14t = -10 + 7t Solving -28 + 14t = -10 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -28 + 14t + -7t = -10 + 7t + -7t Combine like terms: 14t + -7t = 7t -28 + 7t = -10 + 7t + -7t Combine like terms: 7t + -7t = 0 -28 + 7t = -10 + 0 -28 + 7t = -10 Add '28' to each side of the equation. -28 + 28 + 7t = -10 + 28 Combine like terms: -28 + 28 = 0 0 + 7t = -10 + 28 7t = -10 + 28 Combine like terms: -10 + 28 = 18 7t = 18 Divide each side by '7'. t = 2.571428571 Simplifying t = 2.571428571
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