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Simplifying 7(2t + -4) = 3(7t + -2) + -8 Reorder the terms: 7(-4 + 2t) = 3(7t + -2) + -8 (-4 * 7 + 2t * 7) = 3(7t + -2) + -8 (-28 + 14t) = 3(7t + -2) + -8 Reorder the terms: -28 + 14t = 3(-2 + 7t) + -8 -28 + 14t = (-2 * 3 + 7t * 3) + -8 -28 + 14t = (-6 + 21t) + -8 Reorder the terms: -28 + 14t = -6 + -8 + 21t Combine like terms: -6 + -8 = -14 -28 + 14t = -14 + 21t Solving -28 + 14t = -14 + 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. -28 + 14t + -21t = -14 + 21t + -21t Combine like terms: 14t + -21t = -7t -28 + -7t = -14 + 21t + -21t Combine like terms: 21t + -21t = 0 -28 + -7t = -14 + 0 -28 + -7t = -14 Add '28' to each side of the equation. -28 + 28 + -7t = -14 + 28 Combine like terms: -28 + 28 = 0 0 + -7t = -14 + 28 -7t = -14 + 28 Combine like terms: -14 + 28 = 14 -7t = 14 Divide each side by '-7'. t = -2 Simplifying t = -2
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