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Simplifying 6t + 3(5t + -4) = 9(2t + -5) Reorder the terms: 6t + 3(-4 + 5t) = 9(2t + -5) 6t + (-4 * 3 + 5t * 3) = 9(2t + -5) 6t + (-12 + 15t) = 9(2t + -5) Reorder the terms: -12 + 6t + 15t = 9(2t + -5) Combine like terms: 6t + 15t = 21t -12 + 21t = 9(2t + -5) Reorder the terms: -12 + 21t = 9(-5 + 2t) -12 + 21t = (-5 * 9 + 2t * 9) -12 + 21t = (-45 + 18t) Solving -12 + 21t = -45 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. -12 + 21t + -18t = -45 + 18t + -18t Combine like terms: 21t + -18t = 3t -12 + 3t = -45 + 18t + -18t Combine like terms: 18t + -18t = 0 -12 + 3t = -45 + 0 -12 + 3t = -45 Add '12' to each side of the equation. -12 + 12 + 3t = -45 + 12 Combine like terms: -12 + 12 = 0 0 + 3t = -45 + 12 3t = -45 + 12 Combine like terms: -45 + 12 = -33 3t = -33 Divide each side by '3'. t = -11 Simplifying t = -11
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