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Simplifying 5t + -2(t + -3) = 9t + -18 Reorder the terms: 5t + -2(-3 + t) = 9t + -18 5t + (-3 * -2 + t * -2) = 9t + -18 5t + (6 + -2t) = 9t + -18 Reorder the terms: 6 + 5t + -2t = 9t + -18 Combine like terms: 5t + -2t = 3t 6 + 3t = 9t + -18 Reorder the terms: 6 + 3t = -18 + 9t Solving 6 + 3t = -18 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 6 + 3t + -9t = -18 + 9t + -9t Combine like terms: 3t + -9t = -6t 6 + -6t = -18 + 9t + -9t Combine like terms: 9t + -9t = 0 6 + -6t = -18 + 0 6 + -6t = -18 Add '-6' to each side of the equation. 6 + -6 + -6t = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -6t = -18 + -6 -6t = -18 + -6 Combine like terms: -18 + -6 = -24 -6t = -24 Divide each side by '-6'. t = 4 Simplifying t = 4
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