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Simplifying -3(5t + 8) + 4(t + -5) = 0 Reorder the terms: -3(8 + 5t) + 4(t + -5) = 0 (8 * -3 + 5t * -3) + 4(t + -5) = 0 (-24 + -15t) + 4(t + -5) = 0 Reorder the terms: -24 + -15t + 4(-5 + t) = 0 -24 + -15t + (-5 * 4 + t * 4) = 0 -24 + -15t + (-20 + 4t) = 0 Reorder the terms: -24 + -20 + -15t + 4t = 0 Combine like terms: -24 + -20 = -44 -44 + -15t + 4t = 0 Combine like terms: -15t + 4t = -11t -44 + -11t = 0 Solving -44 + -11t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -11t = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -11t = 0 + 44 -11t = 0 + 44 Combine like terms: 0 + 44 = 44 -11t = 44 Divide each side by '-11'. t = -4 Simplifying t = -4
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