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Simplifying -1t + -1(3t + -10) = 6t + -5 Reorder the terms: -1t + -1(-10 + 3t) = 6t + -5 -1t + (-10 * -1 + 3t * -1) = 6t + -5 -1t + (10 + -3t) = 6t + -5 Reorder the terms: 10 + -1t + -3t = 6t + -5 Combine like terms: -1t + -3t = -4t 10 + -4t = 6t + -5 Reorder the terms: 10 + -4t = -5 + 6t Solving 10 + -4t = -5 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 10 + -4t + -6t = -5 + 6t + -6t Combine like terms: -4t + -6t = -10t 10 + -10t = -5 + 6t + -6t Combine like terms: 6t + -6t = 0 10 + -10t = -5 + 0 10 + -10t = -5 Add '-10' to each side of the equation. 10 + -10 + -10t = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -10t = -5 + -10 -10t = -5 + -10 Combine like terms: -5 + -10 = -15 -10t = -15 Divide each side by '-10'. t = 1.5 Simplifying t = 1.5
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