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Simplifying 7(8t + 1) + -15 = t + -1(t + 7) Reorder the terms: 7(1 + 8t) + -15 = t + -1(t + 7) (1 * 7 + 8t * 7) + -15 = t + -1(t + 7) (7 + 56t) + -15 = t + -1(t + 7) Reorder the terms: 7 + -15 + 56t = t + -1(t + 7) Combine like terms: 7 + -15 = -8 -8 + 56t = t + -1(t + 7) Reorder the terms: -8 + 56t = t + -1(7 + t) -8 + 56t = t + (7 * -1 + t * -1) -8 + 56t = t + (-7 + -1t) Reorder the terms: -8 + 56t = -7 + t + -1t Combine like terms: t + -1t = 0 -8 + 56t = -7 + 0 -8 + 56t = -7 Solving -8 + 56t = -7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 56t = -7 + 8 Combine like terms: -8 + 8 = 0 0 + 56t = -7 + 8 56t = -7 + 8 Combine like terms: -7 + 8 = 1 56t = 1 Divide each side by '56'. t = 0.01785714286 Simplifying t = 0.01785714286
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