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Simplifying 18(t + -3) + 36 = 7(3t + 3) + -9 Reorder the terms: 18(-3 + t) + 36 = 7(3t + 3) + -9 (-3 * 18 + t * 18) + 36 = 7(3t + 3) + -9 (-54 + 18t) + 36 = 7(3t + 3) + -9 Reorder the terms: -54 + 36 + 18t = 7(3t + 3) + -9 Combine like terms: -54 + 36 = -18 -18 + 18t = 7(3t + 3) + -9 Reorder the terms: -18 + 18t = 7(3 + 3t) + -9 -18 + 18t = (3 * 7 + 3t * 7) + -9 -18 + 18t = (21 + 21t) + -9 Reorder the terms: -18 + 18t = 21 + -9 + 21t Combine like terms: 21 + -9 = 12 -18 + 18t = 12 + 21t Solving -18 + 18t = 12 + 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. -18 + 18t + -21t = 12 + 21t + -21t Combine like terms: 18t + -21t = -3t -18 + -3t = 12 + 21t + -21t Combine like terms: 21t + -21t = 0 -18 + -3t = 12 + 0 -18 + -3t = 12 Add '18' to each side of the equation. -18 + 18 + -3t = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -3t = 12 + 18 -3t = 12 + 18 Combine like terms: 12 + 18 = 30 -3t = 30 Divide each side by '-3'. t = -10 Simplifying t = -10
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