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Simplifying 5(4t + -3) + 6t = 2t + -2 Reorder the terms: 5(-3 + 4t) + 6t = 2t + -2 (-3 * 5 + 4t * 5) + 6t = 2t + -2 (-15 + 20t) + 6t = 2t + -2 Combine like terms: 20t + 6t = 26t -15 + 26t = 2t + -2 Reorder the terms: -15 + 26t = -2 + 2t Solving -15 + 26t = -2 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -15 + 26t + -2t = -2 + 2t + -2t Combine like terms: 26t + -2t = 24t -15 + 24t = -2 + 2t + -2t Combine like terms: 2t + -2t = 0 -15 + 24t = -2 + 0 -15 + 24t = -2 Add '15' to each side of the equation. -15 + 15 + 24t = -2 + 15 Combine like terms: -15 + 15 = 0 0 + 24t = -2 + 15 24t = -2 + 15 Combine like terms: -2 + 15 = 13 24t = 13 Divide each side by '24'. t = 0.5416666667 Simplifying t = 0.5416666667
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