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