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Simplifying 62.84t + -123.66 = 4(2.36 + 2.4t) Reorder the terms: -123.66 + 62.84t = 4(2.36 + 2.4t) -123.66 + 62.84t = (2.36 * 4 + 2.4t * 4) -123.66 + 62.84t = (9.44 + 9.6t) Solving -123.66 + 62.84t = 9.44 + 9.6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9.6t' to each side of the equation. -123.66 + 62.84t + -9.6t = 9.44 + 9.6t + -9.6t Combine like terms: 62.84t + -9.6t = 53.24t -123.66 + 53.24t = 9.44 + 9.6t + -9.6t Combine like terms: 9.6t + -9.6t = 0.0 -123.66 + 53.24t = 9.44 + 0.0 -123.66 + 53.24t = 9.44 Add '123.66' to each side of the equation. -123.66 + 123.66 + 53.24t = 9.44 + 123.66 Combine like terms: -123.66 + 123.66 = 0.00 0.00 + 53.24t = 9.44 + 123.66 53.24t = 9.44 + 123.66 Combine like terms: 9.44 + 123.66 = 133.1 53.24t = 133.1 Divide each side by '53.24'. t = 2.5 Simplifying t = 2.5
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