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Simplifying t = (3x + 4)(2x + -5) Reorder the terms: t = (4 + 3x)(2x + -5) Reorder the terms: t = (4 + 3x)(-5 + 2x) Multiply (4 + 3x) * (-5 + 2x) t = (4(-5 + 2x) + 3x * (-5 + 2x)) t = ((-5 * 4 + 2x * 4) + 3x * (-5 + 2x)) t = ((-20 + 8x) + 3x * (-5 + 2x)) t = (-20 + 8x + (-5 * 3x + 2x * 3x)) t = (-20 + 8x + (-15x + 6x2)) Combine like terms: 8x + -15x = -7x t = (-20 + -7x + 6x2) Solving t = -20 + -7x + 6x2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Simplifying t = -20 + -7x + 6x2
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