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Simplifying 16 + -1(15t + -20) = (-16t + 88) Reorder the terms: 16 + -1(-20 + 15t) = (-16t + 88) 16 + (-20 * -1 + 15t * -1) = (-16t + 88) 16 + (20 + -15t) = (-16t + 88) Combine like terms: 16 + 20 = 36 36 + -15t = (-16t + 88) Reorder the terms: 36 + -15t = (88 + -16t) Remove parenthesis around (88 + -16t) 36 + -15t = 88 + -16t Solving 36 + -15t = 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. 36 + -15t + 16t = 88 + -16t + 16t Combine like terms: -15t + 16t = 1t 36 + 1t = 88 + -16t + 16t Combine like terms: -16t + 16t = 0 36 + 1t = 88 + 0 36 + 1t = 88 Add '-36' to each side of the equation. 36 + -36 + 1t = 88 + -36 Combine like terms: 36 + -36 = 0 0 + 1t = 88 + -36 1t = 88 + -36 Combine like terms: 88 + -36 = 52 1t = 52 Divide each side by '1'. t = 52 Simplifying t = 52
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