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Simplifying -12t + -10t + 6 = 4t + 7t + 72 Reorder the terms: 6 + -12t + -10t = 4t + 7t + 72 Combine like terms: -12t + -10t = -22t 6 + -22t = 4t + 7t + 72 Reorder the terms: 6 + -22t = 72 + 4t + 7t Combine like terms: 4t + 7t = 11t 6 + -22t = 72 + 11t Solving 6 + -22t = 72 + 11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11t' to each side of the equation. 6 + -22t + -11t = 72 + 11t + -11t Combine like terms: -22t + -11t = -33t 6 + -33t = 72 + 11t + -11t Combine like terms: 11t + -11t = 0 6 + -33t = 72 + 0 6 + -33t = 72 Add '-6' to each side of the equation. 6 + -6 + -33t = 72 + -6 Combine like terms: 6 + -6 = 0 0 + -33t = 72 + -6 -33t = 72 + -6 Combine like terms: 72 + -6 = 66 -33t = 66 Divide each side by '-33'. t = -2 Simplifying t = -2
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