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Simplifying -6(t + -6) + -4(-3t + -1) = 5(t + 1) + 9 Reorder the terms: -6(-6 + t) + -4(-3t + -1) = 5(t + 1) + 9 (-6 * -6 + t * -6) + -4(-3t + -1) = 5(t + 1) + 9 (36 + -6t) + -4(-3t + -1) = 5(t + 1) + 9 Reorder the terms: 36 + -6t + -4(-1 + -3t) = 5(t + 1) + 9 36 + -6t + (-1 * -4 + -3t * -4) = 5(t + 1) + 9 36 + -6t + (4 + 12t) = 5(t + 1) + 9 Reorder the terms: 36 + 4 + -6t + 12t = 5(t + 1) + 9 Combine like terms: 36 + 4 = 40 40 + -6t + 12t = 5(t + 1) + 9 Combine like terms: -6t + 12t = 6t 40 + 6t = 5(t + 1) + 9 Reorder the terms: 40 + 6t = 5(1 + t) + 9 40 + 6t = (1 * 5 + t * 5) + 9 40 + 6t = (5 + 5t) + 9 Reorder the terms: 40 + 6t = 5 + 9 + 5t Combine like terms: 5 + 9 = 14 40 + 6t = 14 + 5t Solving 40 + 6t = 14 + 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. 40 + 6t + -5t = 14 + 5t + -5t Combine like terms: 6t + -5t = 1t 40 + 1t = 14 + 5t + -5t Combine like terms: 5t + -5t = 0 40 + 1t = 14 + 0 40 + 1t = 14 Add '-40' to each side of the equation. 40 + -40 + 1t = 14 + -40 Combine like terms: 40 + -40 = 0 0 + 1t = 14 + -40 1t = 14 + -40 Combine like terms: 14 + -40 = -26 1t = -26 Divide each side by '1'. t = -26 Simplifying t = -26
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