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Simplifying 6(4 + -1t) + -55 = -5(2t + -3) (4 * 6 + -1t * 6) + -55 = -5(2t + -3) (24 + -6t) + -55 = -5(2t + -3) Reorder the terms: 24 + -55 + -6t = -5(2t + -3) Combine like terms: 24 + -55 = -31 -31 + -6t = -5(2t + -3) Reorder the terms: -31 + -6t = -5(-3 + 2t) -31 + -6t = (-3 * -5 + 2t * -5) -31 + -6t = (15 + -10t) Solving -31 + -6t = 15 + -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. -31 + -6t + 10t = 15 + -10t + 10t Combine like terms: -6t + 10t = 4t -31 + 4t = 15 + -10t + 10t Combine like terms: -10t + 10t = 0 -31 + 4t = 15 + 0 -31 + 4t = 15 Add '31' to each side of the equation. -31 + 31 + 4t = 15 + 31 Combine like terms: -31 + 31 = 0 0 + 4t = 15 + 31 4t = 15 + 31 Combine like terms: 15 + 31 = 46 4t = 46 Divide each side by '4'. t = 11.5 Simplifying t = 11.5
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