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Simplifying 5(t + -2) + -4(4t + -1) = 4 + -8(5t + 2) Reorder the terms: 5(-2 + t) + -4(4t + -1) = 4 + -8(5t + 2) (-2 * 5 + t * 5) + -4(4t + -1) = 4 + -8(5t + 2) (-10 + 5t) + -4(4t + -1) = 4 + -8(5t + 2) Reorder the terms: -10 + 5t + -4(-1 + 4t) = 4 + -8(5t + 2) -10 + 5t + (-1 * -4 + 4t * -4) = 4 + -8(5t + 2) -10 + 5t + (4 + -16t) = 4 + -8(5t + 2) Reorder the terms: -10 + 4 + 5t + -16t = 4 + -8(5t + 2) Combine like terms: -10 + 4 = -6 -6 + 5t + -16t = 4 + -8(5t + 2) Combine like terms: 5t + -16t = -11t -6 + -11t = 4 + -8(5t + 2) Reorder the terms: -6 + -11t = 4 + -8(2 + 5t) -6 + -11t = 4 + (2 * -8 + 5t * -8) -6 + -11t = 4 + (-16 + -40t) Combine like terms: 4 + -16 = -12 -6 + -11t = -12 + -40t Solving -6 + -11t = -12 + -40t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '40t' to each side of the equation. -6 + -11t + 40t = -12 + -40t + 40t Combine like terms: -11t + 40t = 29t -6 + 29t = -12 + -40t + 40t Combine like terms: -40t + 40t = 0 -6 + 29t = -12 + 0 -6 + 29t = -12 Add '6' to each side of the equation. -6 + 6 + 29t = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 29t = -12 + 6 29t = -12 + 6 Combine like terms: -12 + 6 = -6 29t = -6 Divide each side by '29'. t = -0.2068965517 Simplifying t = -0.2068965517
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