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Simplifying 4(4t + -5) = -17(7 + -1t) Reorder the terms: 4(-5 + 4t) = -17(7 + -1t) (-5 * 4 + 4t * 4) = -17(7 + -1t) (-20 + 16t) = -17(7 + -1t) -20 + 16t = (7 * -17 + -1t * -17) -20 + 16t = (-119 + 17t) Solving -20 + 16t = -119 + 17t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17t' to each side of the equation. -20 + 16t + -17t = -119 + 17t + -17t Combine like terms: 16t + -17t = -1t -20 + -1t = -119 + 17t + -17t Combine like terms: 17t + -17t = 0 -20 + -1t = -119 + 0 -20 + -1t = -119 Add '20' to each side of the equation. -20 + 20 + -1t = -119 + 20 Combine like terms: -20 + 20 = 0 0 + -1t = -119 + 20 -1t = -119 + 20 Combine like terms: -119 + 20 = -99 -1t = -99 Divide each side by '-1'. t = 99 Simplifying t = 99
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