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Simplifying -5.5 = 0.5t + -2.5(-6t + -2) Reorder the terms: -5.5 = 0.5t + -2.5(-2 + -6t) -5.5 = 0.5t + (-2 * -2.5 + -6t * -2.5) -5.5 = 0.5t + (5 + 15t) Reorder the terms: -5.5 = 5 + 0.5t + 15t Combine like terms: 0.5t + 15t = 15.5t -5.5 = 5 + 15.5t Solving -5.5 = 5 + 15.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15.5t' to each side of the equation. -5.5 + -15.5t = 5 + 15.5t + -15.5t Combine like terms: 15.5t + -15.5t = 0.0 -5.5 + -15.5t = 5 + 0.0 -5.5 + -15.5t = 5 Add '5.5' to each side of the equation. -5.5 + 5.5 + -15.5t = 5 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + -15.5t = 5 + 5.5 -15.5t = 5 + 5.5 Combine like terms: 5 + 5.5 = 10.5 -15.5t = 10.5 Divide each side by '-15.5'. t = -0.6774193548 Simplifying t = -0.6774193548
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