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Simplifying 5(5t + 1) + -9 = t + -1(t + 3) Reorder the terms: 5(1 + 5t) + -9 = t + -1(t + 3) (1 * 5 + 5t * 5) + -9 = t + -1(t + 3) (5 + 25t) + -9 = t + -1(t + 3) Reorder the terms: 5 + -9 + 25t = t + -1(t + 3) Combine like terms: 5 + -9 = -4 -4 + 25t = t + -1(t + 3) Reorder the terms: -4 + 25t = t + -1(3 + t) -4 + 25t = t + (3 * -1 + t * -1) -4 + 25t = t + (-3 + -1t) Reorder the terms: -4 + 25t = -3 + t + -1t Combine like terms: t + -1t = 0 -4 + 25t = -3 + 0 -4 + 25t = -3 Solving -4 + 25t = -3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 25t = -3 + 4 Combine like terms: -4 + 4 = 0 0 + 25t = -3 + 4 25t = -3 + 4 Combine like terms: -3 + 4 = 1 25t = 1 Divide each side by '25'. t = 0.04 Simplifying t = 0.04
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