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Simplifying -0.5(4t + 3) = 0.5(-2 + -3t) Reorder the terms: -0.5(3 + 4t) = 0.5(-2 + -3t) (3 * -0.5 + 4t * -0.5) = 0.5(-2 + -3t) (-1.5 + -2t) = 0.5(-2 + -3t) -1.5 + -2t = (-2 * 0.5 + -3t * 0.5) -1.5 + -2t = (-1 + -1.5t) Solving -1.5 + -2t = -1 + -1.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.5t' to each side of the equation. -1.5 + -2t + 1.5t = -1 + -1.5t + 1.5t Combine like terms: -2t + 1.5t = -0.5t -1.5 + -0.5t = -1 + -1.5t + 1.5t Combine like terms: -1.5t + 1.5t = 0.0 -1.5 + -0.5t = -1 + 0.0 -1.5 + -0.5t = -1 Add '1.5' to each side of the equation. -1.5 + 1.5 + -0.5t = -1 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -0.5t = -1 + 1.5 -0.5t = -1 + 1.5 Combine like terms: -1 + 1.5 = 0.5 -0.5t = 0.5 Divide each side by '-0.5'. t = -1 Simplifying t = -1
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