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Simplifying 10t + -1(4t + -7) = 5(t + -3) Reorder the terms: 10t + -1(-7 + 4t) = 5(t + -3) 10t + (-7 * -1 + 4t * -1) = 5(t + -3) 10t + (7 + -4t) = 5(t + -3) Reorder the terms: 7 + 10t + -4t = 5(t + -3) Combine like terms: 10t + -4t = 6t 7 + 6t = 5(t + -3) Reorder the terms: 7 + 6t = 5(-3 + t) 7 + 6t = (-3 * 5 + t * 5) 7 + 6t = (-15 + 5t) Solving 7 + 6t = -15 + 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. 7 + 6t + -5t = -15 + 5t + -5t Combine like terms: 6t + -5t = 1t 7 + 1t = -15 + 5t + -5t Combine like terms: 5t + -5t = 0 7 + 1t = -15 + 0 7 + 1t = -15 Add '-7' to each side of the equation. 7 + -7 + 1t = -15 + -7 Combine like terms: 7 + -7 = 0 0 + 1t = -15 + -7 1t = -15 + -7 Combine like terms: -15 + -7 = -22 1t = -22 Divide each side by '1'. t = -22 Simplifying t = -22
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