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Simplifying -4(5t + 3) + 4(t + -4) = 0 Reorder the terms: -4(3 + 5t) + 4(t + -4) = 0 (3 * -4 + 5t * -4) + 4(t + -4) = 0 (-12 + -20t) + 4(t + -4) = 0 Reorder the terms: -12 + -20t + 4(-4 + t) = 0 -12 + -20t + (-4 * 4 + t * 4) = 0 -12 + -20t + (-16 + 4t) = 0 Reorder the terms: -12 + -16 + -20t + 4t = 0 Combine like terms: -12 + -16 = -28 -28 + -20t + 4t = 0 Combine like terms: -20t + 4t = -16t -28 + -16t = 0 Solving -28 + -16t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -16t = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -16t = 0 + 28 -16t = 0 + 28 Combine like terms: 0 + 28 = 28 -16t = 28 Divide each side by '-16'. t = -1.75 Simplifying t = -1.75
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