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Simplifying 18t + -1(5 + 11t) = 2(5t + -4) 18t + (5 * -1 + 11t * -1) = 2(5t + -4) 18t + (-5 + -11t) = 2(5t + -4) Reorder the terms: -5 + 18t + -11t = 2(5t + -4) Combine like terms: 18t + -11t = 7t -5 + 7t = 2(5t + -4) Reorder the terms: -5 + 7t = 2(-4 + 5t) -5 + 7t = (-4 * 2 + 5t * 2) -5 + 7t = (-8 + 10t) Solving -5 + 7t = -8 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -5 + 7t + -10t = -8 + 10t + -10t Combine like terms: 7t + -10t = -3t -5 + -3t = -8 + 10t + -10t Combine like terms: 10t + -10t = 0 -5 + -3t = -8 + 0 -5 + -3t = -8 Add '5' to each side of the equation. -5 + 5 + -3t = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -3t = -8 + 5 -3t = -8 + 5 Combine like terms: -8 + 5 = -3 -3t = -3 Divide each side by '-3'. t = 1 Simplifying t = 1
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