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Simplifying 7t + -25 = 8 + 16(t + 15) Reorder the terms: -25 + 7t = 8 + 16(t + 15) Reorder the terms: -25 + 7t = 8 + 16(15 + t) -25 + 7t = 8 + (15 * 16 + t * 16) -25 + 7t = 8 + (240 + 16t) Combine like terms: 8 + 240 = 248 -25 + 7t = 248 + 16t Solving -25 + 7t = 248 + 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. -25 + 7t + -16t = 248 + 16t + -16t Combine like terms: 7t + -16t = -9t -25 + -9t = 248 + 16t + -16t Combine like terms: 16t + -16t = 0 -25 + -9t = 248 + 0 -25 + -9t = 248 Add '25' to each side of the equation. -25 + 25 + -9t = 248 + 25 Combine like terms: -25 + 25 = 0 0 + -9t = 248 + 25 -9t = 248 + 25 Combine like terms: 248 + 25 = 273 -9t = 273 Divide each side by '-9'. t = -30.33333333 Simplifying t = -30.33333333
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