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Simplifying 8(3t + -2) = 7(t + -2) Reorder the terms: 8(-2 + 3t) = 7(t + -2) (-2 * 8 + 3t * 8) = 7(t + -2) (-16 + 24t) = 7(t + -2) Reorder the terms: -16 + 24t = 7(-2 + t) -16 + 24t = (-2 * 7 + t * 7) -16 + 24t = (-14 + 7t) Solving -16 + 24t = -14 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -16 + 24t + -7t = -14 + 7t + -7t Combine like terms: 24t + -7t = 17t -16 + 17t = -14 + 7t + -7t Combine like terms: 7t + -7t = 0 -16 + 17t = -14 + 0 -16 + 17t = -14 Add '16' to each side of the equation. -16 + 16 + 17t = -14 + 16 Combine like terms: -16 + 16 = 0 0 + 17t = -14 + 16 17t = -14 + 16 Combine like terms: -14 + 16 = 2 17t = 2 Divide each side by '17'. t = 0.1176470588 Simplifying t = 0.1176470588
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