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Simplifying 0.25(t + 49) = 4.9 + t Reorder the terms: 0.25(49 + t) = 4.9 + t (49 * 0.25 + t * 0.25) = 4.9 + t (12.25 + 0.25t) = 4.9 + t Solving 12.25 + 0.25t = 4.9 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 12.25 + 0.25t + -1t = 4.9 + t + -1t Combine like terms: 0.25t + -1t = -0.75t 12.25 + -0.75t = 4.9 + t + -1t Combine like terms: t + -1t = 0 12.25 + -0.75t = 4.9 + 0 12.25 + -0.75t = 4.9 Add '-12.25' to each side of the equation. 12.25 + -12.25 + -0.75t = 4.9 + -12.25 Combine like terms: 12.25 + -12.25 = 0.00 0.00 + -0.75t = 4.9 + -12.25 -0.75t = 4.9 + -12.25 Combine like terms: 4.9 + -12.25 = -7.35 -0.75t = -7.35 Divide each side by '-0.75'. t = 9.8 Simplifying t = 9.8
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