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Simplifying 10(5 + -1t) + 5 = -5(t + -3) + -11 (5 * 10 + -1t * 10) + 5 = -5(t + -3) + -11 (50 + -10t) + 5 = -5(t + -3) + -11 Reorder the terms: 50 + 5 + -10t = -5(t + -3) + -11 Combine like terms: 50 + 5 = 55 55 + -10t = -5(t + -3) + -11 Reorder the terms: 55 + -10t = -5(-3 + t) + -11 55 + -10t = (-3 * -5 + t * -5) + -11 55 + -10t = (15 + -5t) + -11 Reorder the terms: 55 + -10t = 15 + -11 + -5t Combine like terms: 15 + -11 = 4 55 + -10t = 4 + -5t Solving 55 + -10t = 4 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 55 + -10t + 5t = 4 + -5t + 5t Combine like terms: -10t + 5t = -5t 55 + -5t = 4 + -5t + 5t Combine like terms: -5t + 5t = 0 55 + -5t = 4 + 0 55 + -5t = 4 Add '-55' to each side of the equation. 55 + -55 + -5t = 4 + -55 Combine like terms: 55 + -55 = 0 0 + -5t = 4 + -55 -5t = 4 + -55 Combine like terms: 4 + -55 = -51 -5t = -51 Divide each side by '-5'. t = 10.2 Simplifying t = 10.2
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