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Simplifying -4(t + 9) + 5(6) * t = 3t Reorder the terms: -4(9 + t) + 5(6) * t = 3t (9 * -4 + t * -4) + 5(6) * t = 3t (-36 + -4t) + 5(6) * t = 3t Multiply 5 * 6 -36 + -4t + 30t = 3t Combine like terms: -4t + 30t = 26t -36 + 26t = 3t Solving -36 + 26t = 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -36 + 26t + -3t = 3t + -3t Combine like terms: 26t + -3t = 23t -36 + 23t = 3t + -3t Combine like terms: 3t + -3t = 0 -36 + 23t = 0 Add '36' to each side of the equation. -36 + 36 + 23t = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 23t = 0 + 36 23t = 0 + 36 Combine like terms: 0 + 36 = 36 23t = 36 Divide each side by '23'. t = 1.565217391 Simplifying t = 1.565217391
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