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Simplifying 2(4t + -5) = 18t + 7 Reorder the terms: 2(-5 + 4t) = 18t + 7 (-5 * 2 + 4t * 2) = 18t + 7 (-10 + 8t) = 18t + 7 Reorder the terms: -10 + 8t = 7 + 18t Solving -10 + 8t = 7 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. -10 + 8t + -18t = 7 + 18t + -18t Combine like terms: 8t + -18t = -10t -10 + -10t = 7 + 18t + -18t Combine like terms: 18t + -18t = 0 -10 + -10t = 7 + 0 -10 + -10t = 7 Add '10' to each side of the equation. -10 + 10 + -10t = 7 + 10 Combine like terms: -10 + 10 = 0 0 + -10t = 7 + 10 -10t = 7 + 10 Combine like terms: 7 + 10 = 17 -10t = 17 Divide each side by '-10'. t = -1.7 Simplifying t = -1.7
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