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Simplifying 2(t + -2) = -4(2 + t) Reorder the terms: 2(-2 + t) = -4(2 + t) (-2 * 2 + t * 2) = -4(2 + t) (-4 + 2t) = -4(2 + t) -4 + 2t = (2 * -4 + t * -4) -4 + 2t = (-8 + -4t) Solving -4 + 2t = -8 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. -4 + 2t + 4t = -8 + -4t + 4t Combine like terms: 2t + 4t = 6t -4 + 6t = -8 + -4t + 4t Combine like terms: -4t + 4t = 0 -4 + 6t = -8 + 0 -4 + 6t = -8 Add '4' to each side of the equation. -4 + 4 + 6t = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 6t = -8 + 4 6t = -8 + 4 Combine like terms: -8 + 4 = -4 6t = -4 Divide each side by '6'. t = -0.6666666667 Simplifying t = -0.6666666667
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