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Simplifying -7(5x + -2r) = 7(1 + -4r) Reorder the terms: -7(-2r + 5x) = 7(1 + -4r) (-2r * -7 + 5x * -7) = 7(1 + -4r) (14r + -35x) = 7(1 + -4r) 14r + -35x = (1 * 7 + -4r * 7) 14r + -35x = (7 + -28r) Solving 14r + -35x = 7 + -28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '28r' to each side of the equation. 14r + 28r + -35x = 7 + -28r + 28r Combine like terms: 14r + 28r = 42r 42r + -35x = 7 + -28r + 28r Combine like terms: -28r + 28r = 0 42r + -35x = 7 + 0 42r + -35x = 7 Add '35x' to each side of the equation. 42r + -35x + 35x = 7 + 35x Combine like terms: -35x + 35x = 0 42r + 0 = 7 + 35x 42r = 7 + 35x Divide each side by '42'. r = 0.1666666667 + 0.8333333333x Simplifying r = 0.1666666667 + 0.8333333333x
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