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Simplifying 6(6t + 6) = -12(3t + -9) Reorder the terms: 6(6 + 6t) = -12(3t + -9) (6 * 6 + 6t * 6) = -12(3t + -9) (36 + 36t) = -12(3t + -9) Reorder the terms: 36 + 36t = -12(-9 + 3t) 36 + 36t = (-9 * -12 + 3t * -12) 36 + 36t = (108 + -36t) Solving 36 + 36t = 108 + -36t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '36t' to each side of the equation. 36 + 36t + 36t = 108 + -36t + 36t Combine like terms: 36t + 36t = 72t 36 + 72t = 108 + -36t + 36t Combine like terms: -36t + 36t = 0 36 + 72t = 108 + 0 36 + 72t = 108 Add '-36' to each side of the equation. 36 + -36 + 72t = 108 + -36 Combine like terms: 36 + -36 = 0 0 + 72t = 108 + -36 72t = 108 + -36 Combine like terms: 108 + -36 = 72 72t = 72 Divide each side by '72'. t = 1 Simplifying t = 1
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