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Simplifying 3(4t + 1) + -6 = t + -1(t + 2) Reorder the terms: 3(1 + 4t) + -6 = t + -1(t + 2) (1 * 3 + 4t * 3) + -6 = t + -1(t + 2) (3 + 12t) + -6 = t + -1(t + 2) Reorder the terms: 3 + -6 + 12t = t + -1(t + 2) Combine like terms: 3 + -6 = -3 -3 + 12t = t + -1(t + 2) Reorder the terms: -3 + 12t = t + -1(2 + t) -3 + 12t = t + (2 * -1 + t * -1) -3 + 12t = t + (-2 + -1t) Reorder the terms: -3 + 12t = -2 + t + -1t Combine like terms: t + -1t = 0 -3 + 12t = -2 + 0 -3 + 12t = -2 Solving -3 + 12t = -2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 12t = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 12t = -2 + 3 12t = -2 + 3 Combine like terms: -2 + 3 = 1 12t = 1 Divide each side by '12'. t = 0.08333333333 Simplifying t = 0.08333333333
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