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Simplifying 6 + 6(2t + -1) = 4(x + -5) + -2 Reorder the terms: 6 + 6(-1 + 2t) = 4(x + -5) + -2 6 + (-1 * 6 + 2t * 6) = 4(x + -5) + -2 6 + (-6 + 12t) = 4(x + -5) + -2 Combine like terms: 6 + -6 = 0 0 + 12t = 4(x + -5) + -2 12t = 4(x + -5) + -2 Reorder the terms: 12t = 4(-5 + x) + -2 12t = (-5 * 4 + x * 4) + -2 12t = (-20 + 4x) + -2 Reorder the terms: 12t = -20 + -2 + 4x Combine like terms: -20 + -2 = -22 12t = -22 + 4x Solving 12t = -22 + 4x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Divide each side by '12'. t = -1.833333333 + 0.3333333333x Simplifying t = -1.833333333 + 0.3333333333x
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