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Simplifying 3(4t + 1) + -12 = t + -1(1 + 8) Reorder the terms: 3(1 + 4t) + -12 = t + -1(1 + 8) (1 * 3 + 4t * 3) + -12 = t + -1(1 + 8) (3 + 12t) + -12 = t + -1(1 + 8) Reorder the terms: 3 + -12 + 12t = t + -1(1 + 8) Combine like terms: 3 + -12 = -9 -9 + 12t = t + -1(1 + 8) Combine like terms: 1 + 8 = 9 -9 + 12t = t + -1(9) Multiply -1 * 9 -9 + 12t = t + -9 Reorder the terms: -9 + 12t = -9 + t Add '9' to each side of the equation. -9 + 9 + 12t = -9 + 9 + t Combine like terms: -9 + 9 = 0 0 + 12t = -9 + 9 + t 12t = -9 + 9 + t Combine like terms: -9 + 9 = 0 12t = 0 + t 12t = t Solving 12t = t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 12t + -1t = t + -1t Combine like terms: 12t + -1t = 11t 11t = t + -1t Combine like terms: t + -1t = 0 11t = 0 Divide each side by '11'. t = 0 Simplifying t = 0
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