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Simplifying -0.5(2t + -5) = 0.5(7 + -1t) Reorder the terms: -0.5(-5 + 2t) = 0.5(7 + -1t) (-5 * -0.5 + 2t * -0.5) = 0.5(7 + -1t) (2.5 + -1t) = 0.5(7 + -1t) 2.5 + -1t = (7 * 0.5 + -1t * 0.5) 2.5 + -1t = (3.5 + -0.5t) Solving 2.5 + -1t = 3.5 + -0.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.5t' to each side of the equation. 2.5 + -1t + 0.5t = 3.5 + -0.5t + 0.5t Combine like terms: -1t + 0.5t = -0.5t 2.5 + -0.5t = 3.5 + -0.5t + 0.5t Combine like terms: -0.5t + 0.5t = 0.0 2.5 + -0.5t = 3.5 + 0.0 2.5 + -0.5t = 3.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -0.5t = 3.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.5t = 3.5 + -2.5 -0.5t = 3.5 + -2.5 Combine like terms: 3.5 + -2.5 = 1 -0.5t = 1 Divide each side by '-0.5'. t = -2 Simplifying t = -2
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