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Simplifying (2t + -4) + -8(2t + -4) + 12 = 0 Reorder the terms: (-4 + 2t) + -8(2t + -4) + 12 = 0 Remove parenthesis around (-4 + 2t) -4 + 2t + -8(2t + -4) + 12 = 0 Reorder the terms: -4 + 2t + -8(-4 + 2t) + 12 = 0 -4 + 2t + (-4 * -8 + 2t * -8) + 12 = 0 -4 + 2t + (32 + -16t) + 12 = 0 Reorder the terms: -4 + 32 + 12 + 2t + -16t = 0 Combine like terms: -4 + 32 = 28 28 + 12 + 2t + -16t = 0 Combine like terms: 28 + 12 = 40 40 + 2t + -16t = 0 Combine like terms: 2t + -16t = -14t 40 + -14t = 0 Solving 40 + -14t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -14t = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -14t = 0 + -40 -14t = 0 + -40 Combine like terms: 0 + -40 = -40 -14t = -40 Divide each side by '-14'. t = 2.857142857 Simplifying t = 2.857142857
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