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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 = -11t -8 + -11t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 -8 + -11t = -3 + 0 -8 + -11t = -3 Add '8' to each side of the equation. -8 + 8 + -11t = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -11t = -3 + 8 -11t = -3 + 8 Combine like terms: -3 + 8 = 5 -11t = 5 Divide each side by '-11'. t = -0.4545454545 Simplifying t = -0.4545454545
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