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Simplifying 0.714(t + 7) = 0.3t + 23 Reorder the terms: 0.714(7 + t) = 0.3t + 23 (7 * 0.714 + t * 0.714) = 0.3t + 23 (4.998 + 0.714t) = 0.3t + 23 Reorder the terms: 4.998 + 0.714t = 23 + 0.3t Solving 4.998 + 0.714t = 23 + 0.3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.3t' to each side of the equation. 4.998 + 0.714t + -0.3t = 23 + 0.3t + -0.3t Combine like terms: 0.714t + -0.3t = 0.414t 4.998 + 0.414t = 23 + 0.3t + -0.3t Combine like terms: 0.3t + -0.3t = 0.0 4.998 + 0.414t = 23 + 0.0 4.998 + 0.414t = 23 Add '-4.998' to each side of the equation. 4.998 + -4.998 + 0.414t = 23 + -4.998 Combine like terms: 4.998 + -4.998 = 0.000 0.000 + 0.414t = 23 + -4.998 0.414t = 23 + -4.998 Combine like terms: 23 + -4.998 = 18.002 0.414t = 18.002 Divide each side by '0.414'. t = 43.48309179 Simplifying t = 43.48309179
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