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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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