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Simplifying 8(8t + 1) + -10 = t + -1(t + -1) Reorder the terms: 8(1 + 8t) + -10 = t + -1(t + -1) (1 * 8 + 8t * 8) + -10 = t + -1(t + -1) (8 + 64t) + -10 = t + -1(t + -1) Reorder the terms: 8 + -10 + 64t = t + -1(t + -1) Combine like terms: 8 + -10 = -2 -2 + 64t = t + -1(t + -1) Reorder the terms: -2 + 64t = t + -1(-1 + t) -2 + 64t = t + (-1 * -1 + t * -1) -2 + 64t = t + (1 + -1t) Reorder the terms: -2 + 64t = 1 + t + -1t Combine like terms: t + -1t = 0 -2 + 64t = 1 + 0 -2 + 64t = 1 Solving -2 + 64t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 64t = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 64t = 1 + 2 64t = 1 + 2 Combine like terms: 1 + 2 = 3 64t = 3 Divide each side by '64'. t = 0.046875 Simplifying t = 0.046875
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