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Simplifying -1(4r + 1) = 5(-2r + 7) Reorder the terms: -1(1 + 4r) = 5(-2r + 7) (1 * -1 + 4r * -1) = 5(-2r + 7) (-1 + -4r) = 5(-2r + 7) Reorder the terms: -1 + -4r = 5(7 + -2r) -1 + -4r = (7 * 5 + -2r * 5) -1 + -4r = (35 + -10r) Solving -1 + -4r = 35 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. -1 + -4r + 10r = 35 + -10r + 10r Combine like terms: -4r + 10r = 6r -1 + 6r = 35 + -10r + 10r Combine like terms: -10r + 10r = 0 -1 + 6r = 35 + 0 -1 + 6r = 35 Add '1' to each side of the equation. -1 + 1 + 6r = 35 + 1 Combine like terms: -1 + 1 = 0 0 + 6r = 35 + 1 6r = 35 + 1 Combine like terms: 35 + 1 = 36 6r = 36 Divide each side by '6'. r = 6 Simplifying r = 6
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