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Simplifying (7t + -2) + -1(3t + 1) = -3(-3t) Reorder the terms: (-2 + 7t) + -1(3t + 1) = -3(-3t) Remove parenthesis around (-2 + 7t) -2 + 7t + -1(3t + 1) = -3(-3t) Reorder the terms: -2 + 7t + -1(1 + 3t) = -3(-3t) -2 + 7t + (1 * -1 + 3t * -1) = -3(-3t) -2 + 7t + (-1 + -3t) = -3(-3t) Reorder the terms: -2 + -1 + 7t + -3t = -3(-3t) Combine like terms: -2 + -1 = -3 -3 + 7t + -3t = -3(-3t) Combine like terms: 7t + -3t = 4t -3 + 4t = -3(-3t) Remove parenthesis around (-3t) -3 + 4t = -3 * -3t Multiply -3 * -3 -3 + 4t = 9t Solving -3 + 4t = 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. -3 + 4t + -9t = 9t + -9t Combine like terms: 4t + -9t = -5t -3 + -5t = 9t + -9t Combine like terms: 9t + -9t = 0 -3 + -5t = 0 Add '3' to each side of the equation. -3 + 3 + -5t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5t = 0 + 3 -5t = 0 + 3 Combine like terms: 0 + 3 = 3 -5t = 3 Divide each side by '-5'. t = -0.6 Simplifying t = -0.6
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