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Simplifying 8(4t + 13) = -15 + 15t Reorder the terms: 8(13 + 4t) = -15 + 15t (13 * 8 + 4t * 8) = -15 + 15t (104 + 32t) = -15 + 15t Solving 104 + 32t = -15 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. 104 + 32t + -15t = -15 + 15t + -15t Combine like terms: 32t + -15t = 17t 104 + 17t = -15 + 15t + -15t Combine like terms: 15t + -15t = 0 104 + 17t = -15 + 0 104 + 17t = -15 Add '-104' to each side of the equation. 104 + -104 + 17t = -15 + -104 Combine like terms: 104 + -104 = 0 0 + 17t = -15 + -104 17t = -15 + -104 Combine like terms: -15 + -104 = -119 17t = -119 Divide each side by '17'. t = -7 Simplifying t = -7
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