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Simplifying 29.95 + 0.10t = 39.95 + 0.5t Solving 29.95 + 0.10t = 39.95 + 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. 29.95 + 0.10t + -0.5t = 39.95 + 0.5t + -0.5t Combine like terms: 0.10t + -0.5t = -0.4t 29.95 + -0.4t = 39.95 + 0.5t + -0.5t Combine like terms: 0.5t + -0.5t = 0.0 29.95 + -0.4t = 39.95 + 0.0 29.95 + -0.4t = 39.95 Add '-29.95' to each side of the equation. 29.95 + -29.95 + -0.4t = 39.95 + -29.95 Combine like terms: 29.95 + -29.95 = 0.00 0.00 + -0.4t = 39.95 + -29.95 -0.4t = 39.95 + -29.95 Combine like terms: 39.95 + -29.95 = 10 -0.4t = 10 Divide each side by '-0.4'. t = -25 Simplifying t = -25
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