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Simplifying 16 + -5(3t + -4) = 9(-2t + 11) Reorder the terms: 16 + -5(-4 + 3t) = 9(-2t + 11) 16 + (-4 * -5 + 3t * -5) = 9(-2t + 11) 16 + (20 + -15t) = 9(-2t + 11) Combine like terms: 16 + 20 = 36 36 + -15t = 9(-2t + 11) Reorder the terms: 36 + -15t = 9(11 + -2t) 36 + -15t = (11 * 9 + -2t * 9) 36 + -15t = (99 + -18t) Solving 36 + -15t = 99 + -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. 36 + -15t + 18t = 99 + -18t + 18t Combine like terms: -15t + 18t = 3t 36 + 3t = 99 + -18t + 18t Combine like terms: -18t + 18t = 0 36 + 3t = 99 + 0 36 + 3t = 99 Add '-36' to each side of the equation. 36 + -36 + 3t = 99 + -36 Combine like terms: 36 + -36 = 0 0 + 3t = 99 + -36 3t = 99 + -36 Combine like terms: 99 + -36 = 63 3t = 63 Divide each side by '3'. t = 21 Simplifying t = 21
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