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Simplifying 2 + -6t + (3 + -1t) = (t + -3) * 5 + -3 Remove parenthesis around (3 + -1t) 2 + -6t + 3 + -1t = (t + -3) * 5 + -3 Reorder the terms: 2 + 3 + -6t + -1t = (t + -3) * 5 + -3 Combine like terms: 2 + 3 = 5 5 + -6t + -1t = (t + -3) * 5 + -3 Combine like terms: -6t + -1t = -7t 5 + -7t = (t + -3) * 5 + -3 Reorder the terms: 5 + -7t = (-3 + t) * 5 + -3 Reorder the terms for easier multiplication: 5 + -7t = 5(-3 + t) + -3 5 + -7t = (-3 * 5 + t * 5) + -3 5 + -7t = (-15 + 5t) + -3 Reorder the terms: 5 + -7t = -15 + -3 + 5t Combine like terms: -15 + -3 = -18 5 + -7t = -18 + 5t Solving 5 + -7t = -18 + 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. 5 + -7t + -5t = -18 + 5t + -5t Combine like terms: -7t + -5t = -12t 5 + -12t = -18 + 5t + -5t Combine like terms: 5t + -5t = 0 5 + -12t = -18 + 0 5 + -12t = -18 Add '-5' to each side of the equation. 5 + -5 + -12t = -18 + -5 Combine like terms: 5 + -5 = 0 0 + -12t = -18 + -5 -12t = -18 + -5 Combine like terms: -18 + -5 = -23 -12t = -23 Divide each side by '-12'. t = 1.916666667 Simplifying t = 1.916666667
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