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Simplifying -1t + -1(3t + -1) = 6t + -5 Reorder the terms: -1t + -1(-1 + 3t) = 6t + -5 -1t + (-1 * -1 + 3t * -1) = 6t + -5 -1t + (1 + -3t) = 6t + -5 Reorder the terms: 1 + -1t + -3t = 6t + -5 Combine like terms: -1t + -3t = -4t 1 + -4t = 6t + -5 Reorder the terms: 1 + -4t = -5 + 6t Solving 1 + -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. 1 + -4t + -6t = -5 + 6t + -6t Combine like terms: -4t + -6t = -10t 1 + -10t = -5 + 6t + -6t Combine like terms: 6t + -6t = 0 1 + -10t = -5 + 0 1 + -10t = -5 Add '-1' to each side of the equation. 1 + -1 + -10t = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -10t = -5 + -1 -10t = -5 + -1 Combine like terms: -5 + -1 = -6 -10t = -6 Divide each side by '-10'. t = 0.6 Simplifying t = 0.6
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