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Simplifying 7(3r + -5) = r + 5 Reorder the terms: 7(-5 + 3r) = r + 5 (-5 * 7 + 3r * 7) = r + 5 (-35 + 21r) = r + 5 Reorder the terms: -35 + 21r = 5 + r Solving -35 + 21r = 5 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -35 + 21r + -1r = 5 + r + -1r Combine like terms: 21r + -1r = 20r -35 + 20r = 5 + r + -1r Combine like terms: r + -1r = 0 -35 + 20r = 5 + 0 -35 + 20r = 5 Add '35' to each side of the equation. -35 + 35 + 20r = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 20r = 5 + 35 20r = 5 + 35 Combine like terms: 5 + 35 = 40 20r = 40 Divide each side by '20'. r = 2 Simplifying r = 2
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