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Simplifying 55(t + -2) = 45t Reorder the terms: 55(-2 + t) = 45t (-2 * 55 + t * 55) = 45t (-110 + 55t) = 45t Solving -110 + 55t = 45t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-45t' to each side of the equation. -110 + 55t + -45t = 45t + -45t Combine like terms: 55t + -45t = 10t -110 + 10t = 45t + -45t Combine like terms: 45t + -45t = 0 -110 + 10t = 0 Add '110' to each side of the equation. -110 + 110 + 10t = 0 + 110 Combine like terms: -110 + 110 = 0 0 + 10t = 0 + 110 10t = 0 + 110 Combine like terms: 0 + 110 = 110 10t = 110 Divide each side by '10'. t = 11 Simplifying t = 11
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