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Simplifying 8(8t + 1) + -15 = t + -1(t + 6) Reorder the terms: 8(1 + 8t) + -15 = t + -1(t + 6) (1 * 8 + 8t * 8) + -15 = t + -1(t + 6) (8 + 64t) + -15 = t + -1(t + 6) Reorder the terms: 8 + -15 + 64t = t + -1(t + 6) Combine like terms: 8 + -15 = -7 -7 + 64t = t + -1(t + 6) Reorder the terms: -7 + 64t = t + -1(6 + t) -7 + 64t = t + (6 * -1 + t * -1) -7 + 64t = t + (-6 + -1t) Reorder the terms: -7 + 64t = -6 + t + -1t Combine like terms: t + -1t = 0 -7 + 64t = -6 + 0 -7 + 64t = -6 Solving -7 + 64t = -6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 64t = -6 + 7 Combine like terms: -7 + 7 = 0 0 + 64t = -6 + 7 64t = -6 + 7 Combine like terms: -6 + 7 = 1 64t = 1 Divide each side by '64'. t = 0.015625 Simplifying t = 0.015625
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