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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 = 21t 7 + 21t = -14 + -17t + 17t Combine like terms: -17t + 17t = 0 7 + 21t = -14 + 0 7 + 21t = -14 Add '-7' to each side of the equation. 7 + -7 + 21t = -14 + -7 Combine like terms: 7 + -7 = 0 0 + 21t = -14 + -7 21t = -14 + -7 Combine like terms: -14 + -7 = -21 21t = -21 Divide each side by '21'. t = -1 Simplifying t = -1
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