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Simplifying -2 + -3(t + -4) = -5(t + 3) + 4 Reorder the terms: -2 + -3(-4 + t) = -5(t + 3) + 4 -2 + (-4 * -3 + t * -3) = -5(t + 3) + 4 -2 + (12 + -3t) = -5(t + 3) + 4 Combine like terms: -2 + 12 = 10 10 + -3t = -5(t + 3) + 4 Reorder the terms: 10 + -3t = -5(3 + t) + 4 10 + -3t = (3 * -5 + t * -5) + 4 10 + -3t = (-15 + -5t) + 4 Reorder the terms: 10 + -3t = -15 + 4 + -5t Combine like terms: -15 + 4 = -11 10 + -3t = -11 + -5t Solving 10 + -3t = -11 + -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. 10 + -3t + 5t = -11 + -5t + 5t Combine like terms: -3t + 5t = 2t 10 + 2t = -11 + -5t + 5t Combine like terms: -5t + 5t = 0 10 + 2t = -11 + 0 10 + 2t = -11 Add '-10' to each side of the equation. 10 + -10 + 2t = -11 + -10 Combine like terms: 10 + -10 = 0 0 + 2t = -11 + -10 2t = -11 + -10 Combine like terms: -11 + -10 = -21 2t = -21 Divide each side by '2'. t = -10.5 Simplifying t = -10.5
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