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Simplifying 5t + -2(2t + -3) = 9t + -18 Reorder the terms: 5t + -2(-3 + 2t) = 9t + -18 5t + (-3 * -2 + 2t * -2) = 9t + -18 5t + (6 + -4t) = 9t + -18 Reorder the terms: 6 + 5t + -4t = 9t + -18 Combine like terms: 5t + -4t = 1t 6 + 1t = 9t + -18 Reorder the terms: 6 + 1t = -18 + 9t Solving 6 + 1t = -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 + 1t + -9t = -18 + 9t + -9t Combine like terms: 1t + -9t = -8t 6 + -8t = -18 + 9t + -9t Combine like terms: 9t + -9t = 0 6 + -8t = -18 + 0 6 + -8t = -18 Add '-6' to each side of the equation. 6 + -6 + -8t = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -8t = -18 + -6 -8t = -18 + -6 Combine like terms: -18 + -6 = -24 -8t = -24 Divide each side by '-8'. t = 3 Simplifying t = 3
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