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Simplifying -2 + -16t = 6(-3t + 2) Reorder the terms: -2 + -16t = 6(2 + -3t) -2 + -16t = (2 * 6 + -3t * 6) -2 + -16t = (12 + -18t) Solving -2 + -16t = 12 + -18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18t' to each side of the equation. -2 + -16t + 18t = 12 + -18t + 18t Combine like terms: -16t + 18t = 2t -2 + 2t = 12 + -18t + 18t Combine like terms: -18t + 18t = 0 -2 + 2t = 12 + 0 -2 + 2t = 12 Add '2' to each side of the equation. -2 + 2 + 2t = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2t = 12 + 2 2t = 12 + 2 Combine like terms: 12 + 2 = 14 2t = 14 Divide each side by '2'. t = 7 Simplifying t = 7
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