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Simplifying 25t + -3(8t + -4) = 16t + -4 Reorder the terms: 25t + -3(-4 + 8t) = 16t + -4 25t + (-4 * -3 + 8t * -3) = 16t + -4 25t + (12 + -24t) = 16t + -4 Reorder the terms: 12 + 25t + -24t = 16t + -4 Combine like terms: 25t + -24t = 1t 12 + 1t = 16t + -4 Reorder the terms: 12 + 1t = -4 + 16t Solving 12 + 1t = -4 + 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. 12 + 1t + -16t = -4 + 16t + -16t Combine like terms: 1t + -16t = -15t 12 + -15t = -4 + 16t + -16t Combine like terms: 16t + -16t = 0 12 + -15t = -4 + 0 12 + -15t = -4 Add '-12' to each side of the equation. 12 + -12 + -15t = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -15t = -4 + -12 -15t = -4 + -12 Combine like terms: -4 + -12 = -16 -15t = -16 Divide each side by '-15'. t = 1.066666667 Simplifying t = 1.066666667
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