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Simplifying 5(2r + -4) + -7r = 1 Reorder the terms: 5(-4 + 2r) + -7r = 1 (-4 * 5 + 2r * 5) + -7r = 1 (-20 + 10r) + -7r = 1 Combine like terms: 10r + -7r = 3r -20 + 3r = 1 Solving -20 + 3r = 1 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 3r = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 3r = 1 + 20 3r = 1 + 20 Combine like terms: 1 + 20 = 21 3r = 21 Divide each side by '3'. r = 7 Simplifying r = 7
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