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Simplifying 3t + -1(t + 5) = 6t + 5 Reorder the terms: 3t + -1(5 + t) = 6t + 5 3t + (5 * -1 + t * -1) = 6t + 5 3t + (-5 + -1t) = 6t + 5 Reorder the terms: -5 + 3t + -1t = 6t + 5 Combine like terms: 3t + -1t = 2t -5 + 2t = 6t + 5 Reorder the terms: -5 + 2t = 5 + 6t Solving -5 + 2t = 5 + 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. -5 + 2t + -6t = 5 + 6t + -6t Combine like terms: 2t + -6t = -4t -5 + -4t = 5 + 6t + -6t Combine like terms: 6t + -6t = 0 -5 + -4t = 5 + 0 -5 + -4t = 5 Add '5' to each side of the equation. -5 + 5 + -4t = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -4t = 5 + 5 -4t = 5 + 5 Combine like terms: 5 + 5 = 10 -4t = 10 Divide each side by '-4'. t = -2.5 Simplifying t = -2.5
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