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Simplifying 20 + -3(2 + t) = 2t + 4 20 + (2 * -3 + t * -3) = 2t + 4 20 + (-6 + -3t) = 2t + 4 Combine like terms: 20 + -6 = 14 14 + -3t = 2t + 4 Reorder the terms: 14 + -3t = 4 + 2t Solving 14 + -3t = 4 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 14 + -3t + -2t = 4 + 2t + -2t Combine like terms: -3t + -2t = -5t 14 + -5t = 4 + 2t + -2t Combine like terms: 2t + -2t = 0 14 + -5t = 4 + 0 14 + -5t = 4 Add '-14' to each side of the equation. 14 + -14 + -5t = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -5t = 4 + -14 -5t = 4 + -14 Combine like terms: 4 + -14 = -10 -5t = -10 Divide each side by '-5'. t = 2 Simplifying t = 2
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