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Simplifying 3t + -18 = (-45) + 6t Reorder the terms: -18 + 3t = (-45) + 6t -18 + 3t = -45 + 6t Solving -18 + 3t = -45 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -18 + 3t + -6t = -45 + 6t + -6t Combine like terms: 3t + -6t = -3t -18 + -3t = -45 + 6t + -6t Combine like terms: 6t + -6t = 0 -18 + -3t = -45 + 0 -18 + -3t = -45 Add '18' to each side of the equation. -18 + 18 + -3t = -45 + 18 Combine like terms: -18 + 18 = 0 0 + -3t = -45 + 18 -3t = -45 + 18 Combine like terms: -45 + 18 = -27 -3t = -27 Divide each side by '-3'. t = 9 Simplifying t = 9
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