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Simplifying 5(t + -1) = -5(t + 4) + 15 Reorder the terms: 5(-1 + t) = -5(t + 4) + 15 (-1 * 5 + t * 5) = -5(t + 4) + 15 (-5 + 5t) = -5(t + 4) + 15 Reorder the terms: -5 + 5t = -5(4 + t) + 15 -5 + 5t = (4 * -5 + t * -5) + 15 -5 + 5t = (-20 + -5t) + 15 Reorder the terms: -5 + 5t = -20 + 15 + -5t Combine like terms: -20 + 15 = -5 -5 + 5t = -5 + -5t Add '5' to each side of the equation. -5 + 5 + 5t = -5 + 5 + -5t Combine like terms: -5 + 5 = 0 0 + 5t = -5 + 5 + -5t 5t = -5 + 5 + -5t Combine like terms: -5 + 5 = 0 5t = 0 + -5t 5t = -5t Solving 5t = -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 5t + 5t = -5t + 5t Combine like terms: 5t + 5t = 10t 10t = -5t + 5t Combine like terms: -5t + 5t = 0 10t = 0 Divide each side by '10'. t = 0.0 Simplifying t = 0.0
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