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Simplifying 5(t + -3) + -1(3t + -5) = 3(2t + 4) + -14 Reorder the terms: 5(-3 + t) + -1(3t + -5) = 3(2t + 4) + -14 (-3 * 5 + t * 5) + -1(3t + -5) = 3(2t + 4) + -14 (-15 + 5t) + -1(3t + -5) = 3(2t + 4) + -14 Reorder the terms: -15 + 5t + -1(-5 + 3t) = 3(2t + 4) + -14 -15 + 5t + (-5 * -1 + 3t * -1) = 3(2t + 4) + -14 -15 + 5t + (5 + -3t) = 3(2t + 4) + -14 Reorder the terms: -15 + 5 + 5t + -3t = 3(2t + 4) + -14 Combine like terms: -15 + 5 = -10 -10 + 5t + -3t = 3(2t + 4) + -14 Combine like terms: 5t + -3t = 2t -10 + 2t = 3(2t + 4) + -14 Reorder the terms: -10 + 2t = 3(4 + 2t) + -14 -10 + 2t = (4 * 3 + 2t * 3) + -14 -10 + 2t = (12 + 6t) + -14 Reorder the terms: -10 + 2t = 12 + -14 + 6t Combine like terms: 12 + -14 = -2 -10 + 2t = -2 + 6t Solving -10 + 2t = -2 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -10 + 2t + -6t = -2 + 6t + -6t Combine like terms: 2t + -6t = -4t -10 + -4t = -2 + 6t + -6t Combine like terms: 6t + -6t = 0 -10 + -4t = -2 + 0 -10 + -4t = -2 Add '10' to each side of the equation. -10 + 10 + -4t = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -4t = -2 + 10 -4t = -2 + 10 Combine like terms: -2 + 10 = 8 -4t = 8 Divide each side by '-4'. t = -2 Simplifying t = -2
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