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Simplifying 5(5t + 1) + -15 = t + -1(t + 9) Reorder the terms: 5(1 + 5t) + -15 = t + -1(t + 9) (1 * 5 + 5t * 5) + -15 = t + -1(t + 9) (5 + 25t) + -15 = t + -1(t + 9) Reorder the terms: 5 + -15 + 25t = t + -1(t + 9) Combine like terms: 5 + -15 = -10 -10 + 25t = t + -1(t + 9) Reorder the terms: -10 + 25t = t + -1(9 + t) -10 + 25t = t + (9 * -1 + t * -1) -10 + 25t = t + (-9 + -1t) Reorder the terms: -10 + 25t = -9 + t + -1t Combine like terms: t + -1t = 0 -10 + 25t = -9 + 0 -10 + 25t = -9 Solving -10 + 25t = -9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 25t = -9 + 10 Combine like terms: -10 + 10 = 0 0 + 25t = -9 + 10 25t = -9 + 10 Combine like terms: -9 + 10 = 1 25t = 1 Divide each side by '25'. t = 0.04 Simplifying t = 0.04
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