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Simplifying 6t = 3(t + -4) + -1t Reorder the terms: 6t = 3(-4 + t) + -1t 6t = (-4 * 3 + t * 3) + -1t 6t = (-12 + 3t) + -1t Combine like terms: 3t + -1t = 2t 6t = -12 + 2t Solving 6t = -12 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 6t + -2t = -12 + 2t + -2t Combine like terms: 6t + -2t = 4t 4t = -12 + 2t + -2t Combine like terms: 2t + -2t = 0 4t = -12 + 0 4t = -12 Divide each side by '4'. t = -3 Simplifying t = -3
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