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Simplifying -2(-4t + 4) = 1.5(2t + -2) Reorder the terms: -2(4 + -4t) = 1.5(2t + -2) (4 * -2 + -4t * -2) = 1.5(2t + -2) (-8 + 8t) = 1.5(2t + -2) Reorder the terms: -8 + 8t = 1.5(-2 + 2t) -8 + 8t = (-2 * 1.5 + 2t * 1.5) -8 + 8t = (-3 + 3t) Solving -8 + 8t = -3 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -8 + 8t + -3t = -3 + 3t + -3t Combine like terms: 8t + -3t = 5t -8 + 5t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 -8 + 5t = -3 + 0 -8 + 5t = -3 Add '8' to each side of the equation. -8 + 8 + 5t = -3 + 8 Combine like terms: -8 + 8 = 0 0 + 5t = -3 + 8 5t = -3 + 8 Combine like terms: -3 + 8 = 5 5t = 5 Divide each side by '5'. t = 1 Simplifying t = 1
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