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Simplifying 2 + -7(3t + 2) = -5(4t + 2) + -2 Reorder the terms: 2 + -7(2 + 3t) = -5(4t + 2) + -2 2 + (2 * -7 + 3t * -7) = -5(4t + 2) + -2 2 + (-14 + -21t) = -5(4t + 2) + -2 Combine like terms: 2 + -14 = -12 -12 + -21t = -5(4t + 2) + -2 Reorder the terms: -12 + -21t = -5(2 + 4t) + -2 -12 + -21t = (2 * -5 + 4t * -5) + -2 -12 + -21t = (-10 + -20t) + -2 Reorder the terms: -12 + -21t = -10 + -2 + -20t Combine like terms: -10 + -2 = -12 -12 + -21t = -12 + -20t Add '12' to each side of the equation. -12 + 12 + -21t = -12 + 12 + -20t Combine like terms: -12 + 12 = 0 0 + -21t = -12 + 12 + -20t -21t = -12 + 12 + -20t Combine like terms: -12 + 12 = 0 -21t = 0 + -20t -21t = -20t Solving -21t = -20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20t' to each side of the equation. -21t + 20t = -20t + 20t Combine like terms: -21t + 20t = -1t -1t = -20t + 20t Combine like terms: -20t + 20t = 0 -1t = 0 Divide each side by '-1'. t = 0 Simplifying t = 0
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