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Simplifying 27 + -4t + -12t = t + -7 Combine like terms: -4t + -12t = -16t 27 + -16t = t + -7 Reorder the terms: 27 + -16t = -7 + t Solving 27 + -16t = -7 + 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. 27 + -16t + -1t = -7 + t + -1t Combine like terms: -16t + -1t = -17t 27 + -17t = -7 + t + -1t Combine like terms: t + -1t = 0 27 + -17t = -7 + 0 27 + -17t = -7 Add '-27' to each side of the equation. 27 + -27 + -17t = -7 + -27 Combine like terms: 27 + -27 = 0 0 + -17t = -7 + -27 -17t = -7 + -27 Combine like terms: -7 + -27 = -34 -17t = -34 Divide each side by '-17'. t = 2 Simplifying t = 2
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