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Simplifying 2(2t + -3) = 2(3x + -2) Reorder the terms: 2(-3 + 2t) = 2(3x + -2) (-3 * 2 + 2t * 2) = 2(3x + -2) (-6 + 4t) = 2(3x + -2) Reorder the terms: -6 + 4t = 2(-2 + 3x) -6 + 4t = (-2 * 2 + 3x * 2) -6 + 4t = (-4 + 6x) Solving -6 + 4t = -4 + 6x 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 = -4 + 6 + 6x Combine like terms: -6 + 6 = 0 0 + 4t = -4 + 6 + 6x 4t = -4 + 6 + 6x Combine like terms: -4 + 6 = 2 4t = 2 + 6x Divide each side by '4'. t = 0.5 + 1.5x Simplifying t = 0.5 + 1.5x
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