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Simplifying 4(t + -1) + 5(t + -4) = 12 Reorder the terms: 4(-1 + t) + 5(t + -4) = 12 (-1 * 4 + t * 4) + 5(t + -4) = 12 (-4 + 4t) + 5(t + -4) = 12 Reorder the terms: -4 + 4t + 5(-4 + t) = 12 -4 + 4t + (-4 * 5 + t * 5) = 12 -4 + 4t + (-20 + 5t) = 12 Reorder the terms: -4 + -20 + 4t + 5t = 12 Combine like terms: -4 + -20 = -24 -24 + 4t + 5t = 12 Combine like terms: 4t + 5t = 9t -24 + 9t = 12 Solving -24 + 9t = 12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 9t = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 9t = 12 + 24 9t = 12 + 24 Combine like terms: 12 + 24 = 36 9t = 36 Divide each side by '9'. t = 4 Simplifying t = 4
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