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Simplifying 8(3t + -2) = 7(d + -2) Reorder the terms: 8(-2 + 3t) = 7(d + -2) (-2 * 8 + 3t * 8) = 7(d + -2) (-16 + 24t) = 7(d + -2) Reorder the terms: -16 + 24t = 7(-2 + d) -16 + 24t = (-2 * 7 + d * 7) -16 + 24t = (-14 + 7d) Solving -16 + 24t = -14 + 7d Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 24t = -14 + 16 + 7d Combine like terms: -16 + 16 = 0 0 + 24t = -14 + 16 + 7d 24t = -14 + 16 + 7d Combine like terms: -14 + 16 = 2 24t = 2 + 7d Divide each side by '24'. t = 0.08333333333 + 0.2916666667d Simplifying t = 0.08333333333 + 0.2916666667d
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