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Simplifying t + -1[-6(2y + 3)] = 24t Reorder the terms: t + -1[-6(3 + 2y)] = 24t t + -1[(3 * -6 + 2y * -6)] = 24t t + -1[(-18 + -12y)] = 24t t + [-18 * -1 + -12y * -1] = 24t t + [18 + 12y] = 24t Reorder the terms: 18 + t + 12y = 24t Solving 18 + t + 12y = 24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24t' to each side of the equation. 18 + t + -24t + 12y = 24t + -24t Combine like terms: t + -24t = -23t 18 + -23t + 12y = 24t + -24t Combine like terms: 24t + -24t = 0 18 + -23t + 12y = 0 Add '-18' to each side of the equation. 18 + -23t + -18 + 12y = 0 + -18 Reorder the terms: 18 + -18 + -23t + 12y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -23t + 12y = 0 + -18 -23t + 12y = 0 + -18 Combine like terms: 0 + -18 = -18 -23t + 12y = -18 Add '-12y' to each side of the equation. -23t + 12y + -12y = -18 + -12y Combine like terms: 12y + -12y = 0 -23t + 0 = -18 + -12y -23t = -18 + -12y Divide each side by '-23'. t = 0.7826086957 + 0.5217391304y Simplifying t = 0.7826086957 + 0.5217391304y
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