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Simplifying 16 + -5(3t + -4) = 8(-3t + 11) Reorder the terms: 16 + -5(-4 + 3t) = 8(-3t + 11) 16 + (-4 * -5 + 3t * -5) = 8(-3t + 11) 16 + (20 + -15t) = 8(-3t + 11) Combine like terms: 16 + 20 = 36 36 + -15t = 8(-3t + 11) Reorder the terms: 36 + -15t = 8(11 + -3t) 36 + -15t = (11 * 8 + -3t * 8) 36 + -15t = (88 + -24t) Solving 36 + -15t = 88 + -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. 36 + -15t + 24t = 88 + -24t + 24t Combine like terms: -15t + 24t = 9t 36 + 9t = 88 + -24t + 24t Combine like terms: -24t + 24t = 0 36 + 9t = 88 + 0 36 + 9t = 88 Add '-36' to each side of the equation. 36 + -36 + 9t = 88 + -36 Combine like terms: 36 + -36 = 0 0 + 9t = 88 + -36 9t = 88 + -36 Combine like terms: 88 + -36 = 52 9t = 52 Divide each side by '9'. t = 5.777777778 Simplifying t = 5.777777778
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