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Simplifying 18t + -6 = -3(t + 9) Reorder the terms: -6 + 18t = -3(t + 9) Reorder the terms: -6 + 18t = -3(9 + t) -6 + 18t = (9 * -3 + t * -3) -6 + 18t = (-27 + -3t) Solving -6 + 18t = -27 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -6 + 18t + 3t = -27 + -3t + 3t Combine like terms: 18t + 3t = 21t -6 + 21t = -27 + -3t + 3t Combine like terms: -3t + 3t = 0 -6 + 21t = -27 + 0 -6 + 21t = -27 Add '6' to each side of the equation. -6 + 6 + 21t = -27 + 6 Combine like terms: -6 + 6 = 0 0 + 21t = -27 + 6 21t = -27 + 6 Combine like terms: -27 + 6 = -21 21t = -21 Divide each side by '21'. t = -1 Simplifying t = -1
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