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Simplifying 7t + 3(7 + -1r) = -1(r + 4) 7t + (7 * 3 + -1r * 3) = -1(r + 4) 7t + (21 + -3r) = -1(r + 4) Reorder the terms: 21 + -3r + 7t = -1(r + 4) Reorder the terms: 21 + -3r + 7t = -1(4 + r) 21 + -3r + 7t = (4 * -1 + r * -1) 21 + -3r + 7t = (-4 + -1r) Solving 21 + -3r + 7t = -4 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 21 + -3r + r + 7t = -4 + -1r + r Combine like terms: -3r + r = -2r 21 + -2r + 7t = -4 + -1r + r Combine like terms: -1r + r = 0 21 + -2r + 7t = -4 + 0 21 + -2r + 7t = -4 Add '-21' to each side of the equation. 21 + -2r + -21 + 7t = -4 + -21 Reorder the terms: 21 + -21 + -2r + 7t = -4 + -21 Combine like terms: 21 + -21 = 0 0 + -2r + 7t = -4 + -21 -2r + 7t = -4 + -21 Combine like terms: -4 + -21 = -25 -2r + 7t = -25 Add '-7t' to each side of the equation. -2r + 7t + -7t = -25 + -7t Combine like terms: 7t + -7t = 0 -2r + 0 = -25 + -7t -2r = -25 + -7t Divide each side by '-2'. r = 12.5 + 3.5t Simplifying r = 12.5 + 3.5t
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