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Simplifying 8(3r + -2) = 4(7t + -1) Reorder the terms: 8(-2 + 3r) = 4(7t + -1) (-2 * 8 + 3r * 8) = 4(7t + -1) (-16 + 24r) = 4(7t + -1) Reorder the terms: -16 + 24r = 4(-1 + 7t) -16 + 24r = (-1 * 4 + 7t * 4) -16 + 24r = (-4 + 28t) Solving -16 + 24r = -4 + 28t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 24r = -4 + 16 + 28t Combine like terms: -16 + 16 = 0 0 + 24r = -4 + 16 + 28t 24r = -4 + 16 + 28t Combine like terms: -4 + 16 = 12 24r = 12 + 28t Divide each side by '24'. r = 0.5 + 1.166666667t Simplifying r = 0.5 + 1.166666667t
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