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Simplifying 0.5(4t + 24) = 22t + -2 Reorder the terms: 0.5(24 + 4t) = 22t + -2 (24 * 0.5 + 4t * 0.5) = 22t + -2 (12 + 2t) = 22t + -2 Reorder the terms: 12 + 2t = -2 + 22t Solving 12 + 2t = -2 + 22t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22t' to each side of the equation. 12 + 2t + -22t = -2 + 22t + -22t Combine like terms: 2t + -22t = -20t 12 + -20t = -2 + 22t + -22t Combine like terms: 22t + -22t = 0 12 + -20t = -2 + 0 12 + -20t = -2 Add '-12' to each side of the equation. 12 + -12 + -20t = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -20t = -2 + -12 -20t = -2 + -12 Combine like terms: -2 + -12 = -14 -20t = -14 Divide each side by '-20'. t = 0.7 Simplifying t = 0.7
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