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Simplifying t + -9 = -2(2t + -3) Reorder the terms: -9 + t = -2(2t + -3) Reorder the terms: -9 + t = -2(-3 + 2t) -9 + t = (-3 * -2 + 2t * -2) -9 + t = (6 + -4t) Solving -9 + t = 6 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. -9 + t + 4t = 6 + -4t + 4t Combine like terms: t + 4t = 5t -9 + 5t = 6 + -4t + 4t Combine like terms: -4t + 4t = 0 -9 + 5t = 6 + 0 -9 + 5t = 6 Add '9' to each side of the equation. -9 + 9 + 5t = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 5t = 6 + 9 5t = 6 + 9 Combine like terms: 6 + 9 = 15 5t = 15 Divide each side by '5'. t = 3 Simplifying t = 3
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