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Simplifying 2 + -16t = 6(-1t + 2) Reorder the terms: 2 + -16t = 6(2 + -1t) 2 + -16t = (2 * 6 + -1t * 6) 2 + -16t = (12 + -6t) Solving 2 + -16t = 12 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. 2 + -16t + 6t = 12 + -6t + 6t Combine like terms: -16t + 6t = -10t 2 + -10t = 12 + -6t + 6t Combine like terms: -6t + 6t = 0 2 + -10t = 12 + 0 2 + -10t = 12 Add '-2' to each side of the equation. 2 + -2 + -10t = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -10t = 12 + -2 -10t = 12 + -2 Combine like terms: 12 + -2 = 10 -10t = 10 Divide each side by '-10'. t = -1 Simplifying t = -1
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