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Simplifying -2(5 + -4t) = -3(4 + -3.5) (5 * -2 + -4t * -2) = -3(4 + -3.5) (-10 + 8t) = -3(4 + -3.5) Combine like terms: 4 + -3.5 = 0.5 -10 + 8t = -3(0.5) Multiply -3 * 0.5 -10 + 8t = -1.5 Solving -10 + 8t = -1.5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 8t = -1.5 + 10 Combine like terms: -10 + 10 = 0 0 + 8t = -1.5 + 10 8t = -1.5 + 10 Combine like terms: -1.5 + 10 = 8.5 8t = 8.5 Divide each side by '8'. t = 1.0625 Simplifying t = 1.0625
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