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Simplifying (7t + -3) + -1(3t + 1) = -3(1 + -3t) Reorder the terms: (-3 + 7t) + -1(3t + 1) = -3(1 + -3t) Remove parenthesis around (-3 + 7t) -3 + 7t + -1(3t + 1) = -3(1 + -3t) Reorder the terms: -3 + 7t + -1(1 + 3t) = -3(1 + -3t) -3 + 7t + (1 * -1 + 3t * -1) = -3(1 + -3t) -3 + 7t + (-1 + -3t) = -3(1 + -3t) Reorder the terms: -3 + -1 + 7t + -3t = -3(1 + -3t) Combine like terms: -3 + -1 = -4 -4 + 7t + -3t = -3(1 + -3t) Combine like terms: 7t + -3t = 4t -4 + 4t = -3(1 + -3t) -4 + 4t = (1 * -3 + -3t * -3) -4 + 4t = (-3 + 9t) Solving -4 + 4t = -3 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -4 + 4t + -9t = -3 + 9t + -9t Combine like terms: 4t + -9t = -5t -4 + -5t = -3 + 9t + -9t Combine like terms: 9t + -9t = 0 -4 + -5t = -3 + 0 -4 + -5t = -3 Add '4' to each side of the equation. -4 + 4 + -5t = -3 + 4 Combine like terms: -4 + 4 = 0 0 + -5t = -3 + 4 -5t = -3 + 4 Combine like terms: -3 + 4 = 1 -5t = 1 Divide each side by '-5'. t = -0.2 Simplifying t = -0.2
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