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Simplifying 2(2t + -3) = 2(3 + -2) Reorder the terms: 2(-3 + 2t) = 2(3 + -2) (-3 * 2 + 2t * 2) = 2(3 + -2) (-6 + 4t) = 2(3 + -2) Combine like terms: 3 + -2 = 1 -6 + 4t = 2(1) Multiply 2 * 1 -6 + 4t = 2 Solving -6 + 4t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4t = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 4t = 2 + 6 4t = 2 + 6 Combine like terms: 2 + 6 = 8 4t = 8 Divide each side by '4'. t = 2 Simplifying t = 2
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