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Simplifying 3(t + -4) + -4(4t + -1) = 20 + -7(6t + 5) Reorder the terms: 3(-4 + t) + -4(4t + -1) = 20 + -7(6t + 5) (-4 * 3 + t * 3) + -4(4t + -1) = 20 + -7(6t + 5) (-12 + 3t) + -4(4t + -1) = 20 + -7(6t + 5) Reorder the terms: -12 + 3t + -4(-1 + 4t) = 20 + -7(6t + 5) -12 + 3t + (-1 * -4 + 4t * -4) = 20 + -7(6t + 5) -12 + 3t + (4 + -16t) = 20 + -7(6t + 5) Reorder the terms: -12 + 4 + 3t + -16t = 20 + -7(6t + 5) Combine like terms: -12 + 4 = -8 -8 + 3t + -16t = 20 + -7(6t + 5) Combine like terms: 3t + -16t = -13t -8 + -13t = 20 + -7(6t + 5) Reorder the terms: -8 + -13t = 20 + -7(5 + 6t) -8 + -13t = 20 + (5 * -7 + 6t * -7) -8 + -13t = 20 + (-35 + -42t) Combine like terms: 20 + -35 = -15 -8 + -13t = -15 + -42t Solving -8 + -13t = -15 + -42t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '42t' to each side of the equation. -8 + -13t + 42t = -15 + -42t + 42t Combine like terms: -13t + 42t = 29t -8 + 29t = -15 + -42t + 42t Combine like terms: -42t + 42t = 0 -8 + 29t = -15 + 0 -8 + 29t = -15 Add '8' to each side of the equation. -8 + 8 + 29t = -15 + 8 Combine like terms: -8 + 8 = 0 0 + 29t = -15 + 8 29t = -15 + 8 Combine like terms: -15 + 8 = -7 29t = -7 Divide each side by '29'. t = -0.2413793103 Simplifying t = -0.2413793103
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