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Simplifying 4(2t + -3) = 3t + -2 Reorder the terms: 4(-3 + 2t) = 3t + -2 (-3 * 4 + 2t * 4) = 3t + -2 (-12 + 8t) = 3t + -2 Reorder the terms: -12 + 8t = -2 + 3t Solving -12 + 8t = -2 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -12 + 8t + -3t = -2 + 3t + -3t Combine like terms: 8t + -3t = 5t -12 + 5t = -2 + 3t + -3t Combine like terms: 3t + -3t = 0 -12 + 5t = -2 + 0 -12 + 5t = -2 Add '12' to each side of the equation. -12 + 12 + 5t = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 5t = -2 + 12 5t = -2 + 12 Combine like terms: -2 + 12 = 10 5t = 10 Divide each side by '5'. t = 2 Simplifying t = 2
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