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Simplifying 5(t + -1) + -5(2t + 4) = -6(t + 5) + 10 Reorder the terms: 5(-1 + t) + -5(2t + 4) = -6(t + 5) + 10 (-1 * 5 + t * 5) + -5(2t + 4) = -6(t + 5) + 10 (-5 + 5t) + -5(2t + 4) = -6(t + 5) + 10 Reorder the terms: -5 + 5t + -5(4 + 2t) = -6(t + 5) + 10 -5 + 5t + (4 * -5 + 2t * -5) = -6(t + 5) + 10 -5 + 5t + (-20 + -10t) = -6(t + 5) + 10 Reorder the terms: -5 + -20 + 5t + -10t = -6(t + 5) + 10 Combine like terms: -5 + -20 = -25 -25 + 5t + -10t = -6(t + 5) + 10 Combine like terms: 5t + -10t = -5t -25 + -5t = -6(t + 5) + 10 Reorder the terms: -25 + -5t = -6(5 + t) + 10 -25 + -5t = (5 * -6 + t * -6) + 10 -25 + -5t = (-30 + -6t) + 10 Reorder the terms: -25 + -5t = -30 + 10 + -6t Combine like terms: -30 + 10 = -20 -25 + -5t = -20 + -6t Solving -25 + -5t = -20 + -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. -25 + -5t + 6t = -20 + -6t + 6t Combine like terms: -5t + 6t = 1t -25 + 1t = -20 + -6t + 6t Combine like terms: -6t + 6t = 0 -25 + 1t = -20 + 0 -25 + 1t = -20 Add '25' to each side of the equation. -25 + 25 + 1t = -20 + 25 Combine like terms: -25 + 25 = 0 0 + 1t = -20 + 25 1t = -20 + 25 Combine like terms: -20 + 25 = 5 1t = 5 Divide each side by '1'. t = 5 Simplifying t = 5
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