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Simplifying -1(-2r + 7x) + 2(r + 5) = 0 (-2r * -1 + 7x * -1) + 2(r + 5) = 0 (2r + -7x) + 2(r + 5) = 0 Reorder the terms: 2r + -7x + 2(5 + r) = 0 2r + -7x + (5 * 2 + r * 2) = 0 2r + -7x + (10 + 2r) = 0 Reorder the terms: 10 + 2r + 2r + -7x = 0 Combine like terms: 2r + 2r = 4r 10 + 4r + -7x = 0 Solving 10 + 4r + -7x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 4r + -10 + -7x = 0 + -10 Reorder the terms: 10 + -10 + 4r + -7x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4r + -7x = 0 + -10 4r + -7x = 0 + -10 Combine like terms: 0 + -10 = -10 4r + -7x = -10 Add '7x' to each side of the equation. 4r + -7x + 7x = -10 + 7x Combine like terms: -7x + 7x = 0 4r + 0 = -10 + 7x 4r = -10 + 7x Divide each side by '4'. r = -2.5 + 1.75x Simplifying r = -2.5 + 1.75x
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