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Simplifying 7 + -1(4t) = 4t + -14 + -21t Remove parenthesis around (4t) 7 + -1 * 4t = 4t + -14 + -21t Multiply -1 * 4 7 + -4t = 4t + -14 + -21t Reorder the terms: 7 + -4t = -14 + 4t + -21t Combine like terms: 4t + -21t = -17t 7 + -4t = -14 + -17t Solving 7 + -4t = -14 + -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. 7 + -4t + 17t = -14 + -17t + 17t Combine like terms: -4t + 17t = 13t 7 + 13t = -14 + -17t + 17t Combine like terms: -17t + 17t = 0 7 + 13t = -14 + 0 7 + 13t = -14 Add '-7' to each side of the equation. 7 + -7 + 13t = -14 + -7 Combine like terms: 7 + -7 = 0 0 + 13t = -14 + -7 13t = -14 + -7 Combine like terms: -14 + -7 = -21 13t = -21 Divide each side by '13'. t = -1.615384615 Simplifying t = -1.615384615
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