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Simplifying 17(t + 1) = 4(t + -11) + -30 Reorder the terms: 17(1 + t) = 4(t + -11) + -30 (1 * 17 + t * 17) = 4(t + -11) + -30 (17 + 17t) = 4(t + -11) + -30 Reorder the terms: 17 + 17t = 4(-11 + t) + -30 17 + 17t = (-11 * 4 + t * 4) + -30 17 + 17t = (-44 + 4t) + -30 Reorder the terms: 17 + 17t = -44 + -30 + 4t Combine like terms: -44 + -30 = -74 17 + 17t = -74 + 4t Solving 17 + 17t = -74 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 17 + 17t + -4t = -74 + 4t + -4t Combine like terms: 17t + -4t = 13t 17 + 13t = -74 + 4t + -4t Combine like terms: 4t + -4t = 0 17 + 13t = -74 + 0 17 + 13t = -74 Add '-17' to each side of the equation. 17 + -17 + 13t = -74 + -17 Combine like terms: 17 + -17 = 0 0 + 13t = -74 + -17 13t = -74 + -17 Combine like terms: -74 + -17 = -91 13t = -91 Divide each side by '13'. t = -7 Simplifying t = -7
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