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Simplifying 2(6t + 1) + -12 = t + -1(t + 9) Reorder the terms: 2(1 + 6t) + -12 = t + -1(t + 9) (1 * 2 + 6t * 2) + -12 = t + -1(t + 9) (2 + 12t) + -12 = t + -1(t + 9) Reorder the terms: 2 + -12 + 12t = t + -1(t + 9) Combine like terms: 2 + -12 = -10 -10 + 12t = t + -1(t + 9) Reorder the terms: -10 + 12t = t + -1(9 + t) -10 + 12t = t + (9 * -1 + t * -1) -10 + 12t = t + (-9 + -1t) Reorder the terms: -10 + 12t = -9 + t + -1t Combine like terms: t + -1t = 0 -10 + 12t = -9 + 0 -10 + 12t = -9 Solving -10 + 12t = -9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 12t = -9 + 10 Combine like terms: -10 + 10 = 0 0 + 12t = -9 + 10 12t = -9 + 10 Combine like terms: -9 + 10 = 1 12t = 1 Divide each side by '12'. t = 0.08333333333 Simplifying t = 0.08333333333
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