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Simplifying 8(3t + -2) = 4(r + 2) + -21 Reorder the terms: 8(-2 + 3t) = 4(r + 2) + -21 (-2 * 8 + 3t * 8) = 4(r + 2) + -21 (-16 + 24t) = 4(r + 2) + -21 Reorder the terms: -16 + 24t = 4(2 + r) + -21 -16 + 24t = (2 * 4 + r * 4) + -21 -16 + 24t = (8 + 4r) + -21 Reorder the terms: -16 + 24t = 8 + -21 + 4r Combine like terms: 8 + -21 = -13 -16 + 24t = -13 + 4r Solving -16 + 24t = -13 + 4r 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 = -13 + 16 + 4r Combine like terms: -16 + 16 = 0 0 + 24t = -13 + 16 + 4r 24t = -13 + 16 + 4r Combine like terms: -13 + 16 = 3 24t = 3 + 4r Divide each side by '24'. t = 0.125 + 0.1666666667r Simplifying t = 0.125 + 0.1666666667r
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