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Simplifying 16 + -5(3 + -4) = 8(-2t + 11) Combine like terms: 3 + -4 = -1 16 + -5(-1) = 8(-2t + 11) Multiply -5 * -1 16 + 5 = 8(-2t + 11) Combine like terms: 16 + 5 = 21 21 = 8(-2t + 11) Reorder the terms: 21 = 8(11 + -2t) 21 = (11 * 8 + -2t * 8) 21 = (88 + -16t) Solving 21 = 88 + -16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16t' to each side of the equation. 21 + 16t = 88 + -16t + 16t Combine like terms: -16t + 16t = 0 21 + 16t = 88 + 0 21 + 16t = 88 Add '-21' to each side of the equation. 21 + -21 + 16t = 88 + -21 Combine like terms: 21 + -21 = 0 0 + 16t = 88 + -21 16t = 88 + -21 Combine like terms: 88 + -21 = 67 16t = 67 Divide each side by '16'. t = 4.1875 Simplifying t = 4.1875
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