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Simplifying 16 + -5(3t + -4) = 88(-2t + 11) Reorder the terms: 16 + -5(-4 + 3t) = 88(-2t + 11) 16 + (-4 * -5 + 3t * -5) = 88(-2t + 11) 16 + (20 + -15t) = 88(-2t + 11) Combine like terms: 16 + 20 = 36 36 + -15t = 88(-2t + 11) Reorder the terms: 36 + -15t = 88(11 + -2t) 36 + -15t = (11 * 88 + -2t * 88) 36 + -15t = (968 + -176t) Solving 36 + -15t = 968 + -176t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '176t' to each side of the equation. 36 + -15t + 176t = 968 + -176t + 176t Combine like terms: -15t + 176t = 161t 36 + 161t = 968 + -176t + 176t Combine like terms: -176t + 176t = 0 36 + 161t = 968 + 0 36 + 161t = 968 Add '-36' to each side of the equation. 36 + -36 + 161t = 968 + -36 Combine like terms: 36 + -36 = 0 0 + 161t = 968 + -36 161t = 968 + -36 Combine like terms: 968 + -36 = 932 161t = 932 Divide each side by '161'. t = 5.788819876 Simplifying t = 5.788819876
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