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Simplifying t + -11 + 7t = 3(4t + -9) Reorder the terms: -11 + t + 7t = 3(4t + -9) Combine like terms: t + 7t = 8t -11 + 8t = 3(4t + -9) Reorder the terms: -11 + 8t = 3(-9 + 4t) -11 + 8t = (-9 * 3 + 4t * 3) -11 + 8t = (-27 + 12t) Solving -11 + 8t = -27 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -11 + 8t + -12t = -27 + 12t + -12t Combine like terms: 8t + -12t = -4t -11 + -4t = -27 + 12t + -12t Combine like terms: 12t + -12t = 0 -11 + -4t = -27 + 0 -11 + -4t = -27 Add '11' to each side of the equation. -11 + 11 + -4t = -27 + 11 Combine like terms: -11 + 11 = 0 0 + -4t = -27 + 11 -4t = -27 + 11 Combine like terms: -27 + 11 = -16 -4t = -16 Divide each side by '-4'. t = 4 Simplifying t = 4
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