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Simplifying t + 10 + 0.5t = t + t + -5 Reorder the terms: 10 + t + 0.5t = t + t + -5 Combine like terms: t + 0.5t = 1.5t 10 + 1.5t = t + t + -5 Reorder the terms: 10 + 1.5t = -5 + t + t Combine like terms: t + t = 2t 10 + 1.5t = -5 + 2t Solving 10 + 1.5t = -5 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 10 + 1.5t + -2t = -5 + 2t + -2t Combine like terms: 1.5t + -2t = -0.5t 10 + -0.5t = -5 + 2t + -2t Combine like terms: 2t + -2t = 0 10 + -0.5t = -5 + 0 10 + -0.5t = -5 Add '-10' to each side of the equation. 10 + -10 + -0.5t = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -0.5t = -5 + -10 -0.5t = -5 + -10 Combine like terms: -5 + -10 = -15 -0.5t = -15 Divide each side by '-0.5'. t = 30 Simplifying t = 30
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