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Simplifying -3 + -4(t + -3) = -5(t + 5) + 3 Reorder the terms: -3 + -4(-3 + t) = -5(t + 5) + 3 -3 + (-3 * -4 + t * -4) = -5(t + 5) + 3 -3 + (12 + -4t) = -5(t + 5) + 3 Combine like terms: -3 + 12 = 9 9 + -4t = -5(t + 5) + 3 Reorder the terms: 9 + -4t = -5(5 + t) + 3 9 + -4t = (5 * -5 + t * -5) + 3 9 + -4t = (-25 + -5t) + 3 Reorder the terms: 9 + -4t = -25 + 3 + -5t Combine like terms: -25 + 3 = -22 9 + -4t = -22 + -5t Solving 9 + -4t = -22 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 9 + -4t + 5t = -22 + -5t + 5t Combine like terms: -4t + 5t = 1t 9 + 1t = -22 + -5t + 5t Combine like terms: -5t + 5t = 0 9 + 1t = -22 + 0 9 + 1t = -22 Add '-9' to each side of the equation. 9 + -9 + 1t = -22 + -9 Combine like terms: 9 + -9 = 0 0 + 1t = -22 + -9 1t = -22 + -9 Combine like terms: -22 + -9 = -31 1t = -31 Divide each side by '1'. t = -31 Simplifying t = -31
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