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Simplifying 4 + -3(5t + -12) = 1 + -20t + -1 Reorder the terms: 4 + -3(-12 + 5t) = 1 + -20t + -1 4 + (-12 * -3 + 5t * -3) = 1 + -20t + -1 4 + (36 + -15t) = 1 + -20t + -1 Combine like terms: 4 + 36 = 40 40 + -15t = 1 + -20t + -1 Reorder the terms: 40 + -15t = 1 + -1 + -20t Combine like terms: 1 + -1 = 0 40 + -15t = 0 + -20t 40 + -15t = -20t Solving 40 + -15t = -20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20t' to each side of the equation. 40 + -15t + 20t = -20t + 20t Combine like terms: -15t + 20t = 5t 40 + 5t = -20t + 20t Combine like terms: -20t + 20t = 0 40 + 5t = 0 Add '-40' to each side of the equation. 40 + -40 + 5t = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 5t = 0 + -40 5t = 0 + -40 Combine like terms: 0 + -40 = -40 5t = -40 Divide each side by '5'. t = -8 Simplifying t = -8
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